Richie's answer provides a relatively current list of titles with certificate numbers. Just to add to the answer: the MPAA Website has a Related Links section in the footer. One of those links points to filmratings.com.
If you search through all ratings and lists, you can come up with a list. Here are some of the results. Notice how some of the certificate numbers are alphanumeric instead of just numeric.
Certificate Number,Name,Year,Rating,URL
52990,Boogie,2021,R,http://www.imdb.com/find?q=Boogie
52991,No Man's Land,2020,PG-13,http://www.imdb.com/find?q=No+Man%27s+Land
52992,Vanguard,2020,PG-13,http://www.imdb.com/find?q=Vanguard
52993,Don't Tell A Soul,2020,R,http://www.imdb.com/find?q=Don%27t+Tell+A+Soul
52994,Sir Alex Ferguson: Never Give In,2020,PG-13,http://www.imdb.com/find?q=Sir+Alex+Ferguson%3a+Never+Give+In
52996,Happily,2020,R,http://www.imdb.com/find?q=Happily
52997,Crisis,2020,R,http://www.imdb.com/find?q=Crisis
52998,Velvet Underground, The,2020,R,http://www.imdb.com/find?q=Velvet+Underground%2c+The
52999,Rams,2020,PG-13,http://www.imdb.com/find?q=Rams
53001,Brothers By Blood,2020,R,http://www.imdb.com/find?q=Brothers+By+Blood
53002,Next Goal Wins,2020,PG-13,http://www.imdb.com/find?q=Next+Goal+Wins
53003,DUNE,2020,PG-13,http://www.imdb.com/find?q=DUNE
53004,Outside The Wire,2020,R,http://www.imdb.com/find?q=Outside+The+Wire
53005,Tortured For Christ,2020,PG-13,http://www.imdb.com/find?q=Tortured+For+Christ
53006,Lamb,2020,R,http://www.imdb.com/find?q=Lamb
53007,Starling, The,2021,PG-13,http://www.imdb.com/find?q=Starling%2c+The
53008,Resurrection,2021,PG-13,http://www.imdb.com/find?q=Resurrection
53009,Wildcat,2021,R,http://www.imdb.com/find?q=Wildcat
53010,Annette,2020,R,http://www.imdb.com/find?q=Annette
53011,Lansky,2021,R,http://www.imdb.com/find?q=Lansky
53012,Pinocchio,2020,PG-13,http://www.imdb.com/find?q=Pinocchio
53013,Killing Of Two Lovers, The,2020,R,http://www.imdb.com/find?q=Killing+Of+Two+Lovers%2c+The
53014,Max & Me,2020,PG-13,http://www.imdb.com/find?q=Max+%26+Me
53015,Locked Down,2020,R,http://www.imdb.com/find?q=Locked+Down
53017,Six Minutes To Midnight,2020,PG-13,http://www.imdb.com/find?q=Six+Minutes+To+Midnight
53018,Justice Society: World War II,2020,PG-13,http://www.imdb.com/find?q=Justice+Society%3a+World+War+II
53019,Tomorrow War, The,2021,PG-13,http://www.imdb.com/find?q=Tomorrow+War%2c+The
53020,Assault On VA-33,2021,R,http://www.imdb.com/find?q=Assault+On+VA-33
53021,Night Of The Sicario,2021,R,http://www.imdb.com/find?q=Night+Of+The+Sicario
53022,Freak Power: The Ballot Or The Bomb,2020,R,http://www.imdb.com/find?q=Freak+Power%3a+The+Ballot+Or+The+Bomb
53023,Julia,2020,PG-13,http://www.imdb.com/find?q=Julia
53024,Falling,2020,R,http://www.imdb.com/find?q=Falling
53025,Me You Madness,2020,R,http://www.imdb.com/find?q=Me+You+Madness
53026,Every Breath You Take,2021,R,http://www.imdb.com/find?q=Every+Breath+You+Take
53027,Dara Of Jasenovac,2020,R,http://www.imdb.com/find?q=Dara+Of+Jasenovac
53028,Phobias,2020,R,http://www.imdb.com/find?q=Phobias
53030,Billie Eilish: The World's A Little Blurry,2021,R,http://www.imdb.com/find?q=Billie+Eilish%3a+The+World%27s+A+Little+Blurry
53031,Tyson's Run,2020,PG,http://www.imdb.com/find?q=Tyson%27s+Run
53032,Many Saints Of Newark, The ,2020,R,http://www.imdb.com/find?q=Many+Saints+Of+Newark%2c+The+
53033,My Zoe,2021,R,http://www.imdb.com/find?q=My+Zoe
53034,Tortured For Christ - Extended,2021,PG-13,http://www.imdb.com/find?q=Tortured+For+Christ+-+Extended
53035,Tree, The,2021,PG,http://www.imdb.com/find?q=Tree%2c+The
53036,Saving Sloane,2021,PG,http://www.imdb.com/find?q=Saving+Sloane
53037,Final Account,2021,PG-13,http://www.imdb.com/find?q=Final+Account
53039,Demon Slayer: Kimetsu No Yaiba – The Movie: Mugen Train (Dubbed),2021,R,http://www.imdb.com/find?q=Demon+Slayer%3a+Kimetsu+No+Yaiba+%e2%80%93+The+Movie%3a+Mugen+Train+(Dubbed)
53040,Demon Slayer: Kimetsu No Yaiba – The Movie: Mugen Train (Subtitled),2021,R,http://www.imdb.com/find?q=Demon+Slayer%3a+Kimetsu+No+Yaiba+%e2%80%93+The+Movie%3a+Mugen+Train+(Subtitled)
53046,Boss Baby: Family Business, The,2021,PG,http://www.imdb.com/find?q=Boss+Baby%3a+Family+Business%2c+The
53047,Eddie,2021,PG,http://www.imdb.com/find?q=Eddie
53048,COURAGEOUS LEGACY,2021,PG-13,http://www.imdb.com/find?q=COURAGEOUS+LEGACY
53049,Body Brokers,2021,R,http://www.imdb.com/find?q=Body+Brokers
53050,Gateway, The,2021,R,http://www.imdb.com/find?q=Gateway%2c+The
53051,Cinderella Story: Starstruck, A,2021,PG,http://www.imdb.com/find?q=Cinderella+Story%3a+Starstruck%2c+A
53052,Zack Snyder’s Justice League,2021,R,http://www.imdb.com/find?q=Zack+Snyder%e2%80%99s+Justice+League
53052,Zack Snyder’s Justice League Justice Is Gray Edition,2021,R,http://www.imdb.com/find?q=Zack+Snyder%e2%80%99s+Justice+League+Justice+Is+Gray+Edition
53053,Army Of The Dead,2021,R,http://www.imdb.com/find?q=Army+Of+The+Dead
53054,Ice Road, The,2021,PG-13,http://www.imdb.com/find?q=Ice+Road%2c+The
53055,Miss Willoughby And The Haunted Bookshop,2021,PG,http://www.imdb.com/find?q=Miss+Willoughby+And+The+Haunted+Bookshop
53056,Misfits, The,2021,R,http://www.imdb.com/find?q=Misfits%2c+The
53057,Cruella,2021,PG-13,http://www.imdb.com/find?q=Cruella
53058,Laureate, The,2021,R,http://www.imdb.com/find?q=Laureate%2c+The
53059,Trail Of Justice,2021,PG-13,http://www.imdb.com/find?q=Trail+Of+Justice
53060,Mad Hatter, The,2021,R,http://www.imdb.com/find?q=Mad+Hatter%2c+The
53061,Blithe Spirit,2021,PG-13,http://www.imdb.com/find?q=Blithe+Spirit
53062,PAW Patrol: The Movie,2021,G,http://www.imdb.com/find?q=PAW+Patrol%3a+The+Movie
53063,Diana: The Musical,2021,PG-13,http://www.imdb.com/find?q=Diana%3a+The+Musical
53065,Batman: The Long Halloween Part One ,2021,PG-13,http://www.imdb.com/find?q=Batman%3a+The+Long+Halloween+Part+One+
53066,Son Of The South,2021,PG-13,http://www.imdb.com/find?q=Son+Of+The+South
53067,Songs Of Solomon,2021,R,http://www.imdb.com/find?q=Songs+Of+Solomon
53068,Percy Vs Goliath,2021,PG-13,http://www.imdb.com/find?q=Percy+Vs+Goliath
53069,My Salinger Year,2021,R,http://www.imdb.com/find?q=My+Salinger+Year
53070,Roe V Wade,2021,PG-13,http://www.imdb.com/find?q=Roe+V+Wade
53071,Space Between, The,2021,R,http://www.imdb.com/find?q=Space+Between%2c+The
53072,Voyeurs, The,2021,R,http://www.imdb.com/find?q=Voyeurs%2c+The
53073,Toll, The,2021,R,http://www.imdb.com/find?q=Toll%2c+The
53074,Night Of The Kings,2021,R,http://www.imdb.com/find?q=Night+Of+The+Kings
53076,Limbo,2021,R,http://www.imdb.com/find?q=Limbo
53077,Walking With Herb,2021,PG,http://www.imdb.com/find?q=Walking+With+Herb
53078,Together Together,2021,R,http://www.imdb.com/find?q=Together+Together
53079,SAS: Red Notice,2021,R,http://www.imdb.com/find?q=SAS%3a+Red+Notice
53080,Seventh Day, The,2021,R,http://www.imdb.com/find?q=Seventh+Day%2c+The
53081,Flashback,2021,R,http://www.imdb.com/find?q=Flashback
53082,12 Mighty Orphans,2021,PG-13,http://www.imdb.com/find?q=12+Mighty+Orphans
53084,Locked In,2021,R,http://www.imdb.com/find?q=Locked+In
53085,Endangered Species,2021,R,http://www.imdb.com/find?q=Endangered+Species
53086,Queen Bees,2021,PG-13,http://www.imdb.com/find?q=Queen+Bees
53087,Spirit Untamed,2021,PG,http://www.imdb.com/find?q=Spirit+Untamed
53088,Girl Who Believes In Miracles, The,2021,PG,http://www.imdb.com/find?q=Girl+Who+Believes+In+Miracles%2c+The
53089,American Eid,2021,G,http://www.imdb.com/find?q=American+Eid
53090,Let's Be Tigers,2021,PG,http://www.imdb.com/find?q=Let%27s+Be+Tigers
53091,Nation Of Butterflies, The,2021,PG-13,http://www.imdb.com/find?q=Nation+Of+Butterflies%2c+The
53092,Send It!,2021,R,http://www.imdb.com/find?q=Send+It!
53093,Last Call,2021,R,http://www.imdb.com/find?q=Last+Call
53094,Profile,2021,R,http://www.imdb.com/find?q=Profile
53095,Mortal Kombat,2021,R,http://www.imdb.com/find?q=Mortal+Kombat
53096,Passing,2021,PG-13,http://www.imdb.com/find?q=Passing
53097,Loneliest Whale, The,2021,PG,http://www.imdb.com/find?q=Loneliest+Whale%2c+The
53098,No Sudden Move,2021,R,http://www.imdb.com/find?q=No+Sudden+Move
53101,Initiation,2021,R,http://www.imdb.com/find?q=Initiation
53102,Vanquish,2021,R,http://www.imdb.com/find?q=Vanquish
53104,Sparks Brothers, The,2021,R,http://www.imdb.com/find?q=Sparks+Brothers%2c+The
53105,Salvatore: Shoemaker Of Dreams,2021,PG,http://www.imdb.com/find?q=Salvatore%3a+Shoemaker+Of+Dreams
53106,Duke, The,2021,R,http://www.imdb.com/find?q=Duke%2c+The
53107,Eyes Of Tammy Faye, The,2021,PG-13,http://www.imdb.com/find?q=Eyes+Of+Tammy+Faye%2c+The
53108,Catch The Bullet,2021,R,http://www.imdb.com/find?q=Catch+The+Bullet
53109,Die In A Gunfight,2021,R,http://www.imdb.com/find?q=Die+In+A+Gunfight
53110,Four Good Days,2021,R,http://www.imdb.com/find?q=Four+Good+Days
53111,Summertime,2021,R,http://www.imdb.com/find?q=Summertime
53113,Joey & Ella,2021,G,http://www.imdb.com/find?q=Joey+%26+Ella
53114,Felix And The Hidden Treasure,2021,PG,http://www.imdb.com/find?q=Felix+And+The+Hidden+Treasure
53116,Summer Of Soul,2021,PG-13,http://www.imdb.com/find?q=Summer+Of+Soul
53117,Pig,2021,R,http://www.imdb.com/find?q=Pig
53118,Snow Falls,2021,R,http://www.imdb.com/find?q=Snow+Falls
53119,Domino: Battle Of The Bones,2021,R,http://www.imdb.com/find?q=Domino%3a+Battle+Of+The+Bones
53122,Audible,2021,PG-13,http://www.imdb.com/find?q=Audible
53124,Father Christmas Is Back,2021,PG-13,http://www.imdb.com/find?q=Father+Christmas+Is+Back
53125,Jolt,2021,R,http://www.imdb.com/find?q=Jolt
53126,Till Death,2021,R,http://www.imdb.com/find?q=Till+Death
53128,Mary J Blige’s My Life,2021,R,http://www.imdb.com/find?q=Mary+J+Blige%e2%80%99s+My+Life
53129,Monday,2021,R,http://www.imdb.com/find?q=Monday
53130,New Order,2021,R,http://www.imdb.com/find?q=New+Order
53131,In The Earth,2021,R,http://www.imdb.com/find?q=In+The+Earth
53132,Rocky IV: 35th Anniversary Release,2021,PG-13,http://www.imdb.com/find?q=Rocky+IV%3a+35th+Anniversary+Release
53134,Rita Moreno: Just A Girl Who Decided To Go For It,2021,PG-13,http://www.imdb.com/find?q=Rita+Moreno%3a+Just+A+Girl+Who+Decided+To+Go+For+It
53135,Mainstream,2021,R,http://www.imdb.com/find?q=Mainstream
53136,Gunpowder Milkshake,2021,R,http://www.imdb.com/find?q=Gunpowder+Milkshake
53137,Sing 2,2021,PG,http://www.imdb.com/find?q=Sing+2
53138,Cry Macho,2021,PG-13,http://www.imdb.com/find?q=Cry+Macho
53139,House Next Door, The,2021,R,http://www.imdb.com/find?q=House+Next+Door%2c+The
53140,Siberia,2021,R,http://www.imdb.com/find?q=Siberia
53141,Witnesses,2021,PG,http://www.imdb.com/find?q=Witnesses
53142,Seaper Powers The Movie,2021,G,http://www.imdb.com/find?q=Seaper+Powers+The+Movie
53144,Long Story Short,2021,R,http://www.imdb.com/find?q=Long+Story+Short
53145,Werewolves Within,2021,R,http://www.imdb.com/find?q=Werewolves+Within
53146,Street Gang: How We Got To Sesame Street,2021,PG,http://www.imdb.com/find?q=Street+Gang%3a+How+We+Got+To+Sesame+Street
53147,Paper Tigers, The,2021,PG-13,http://www.imdb.com/find?q=Paper+Tigers%2c+The
53149,Blush,2021,PG,http://www.imdb.com/find?q=Blush
53150,Luca,2021,PG,http://www.imdb.com/find?q=Luca
53151,Batman: The Long Halloween Part Two,2021,R,http://www.imdb.com/find?q=Batman%3a+The+Long+Halloween+Part+Two
53152,Butter,2021,PG-13,http://www.imdb.com/find?q=Butter
53153,Triumph,2021,PG-13,http://www.imdb.com/find?q=Triumph
53154,Smelliville,2021,PG,http://www.imdb.com/find?q=Smelliville
53155,Skater Girl,2021,PG,http://www.imdb.com/find?q=Skater+Girl
53157,Ace & The Christmas Miracle,2021,PG,http://www.imdb.com/find?q=Ace+%26+The+Christmas+Miracle
53158,Forever Purge, The,2021,R,http://www.imdb.com/find?q=Forever+Purge%2c+The
53159,Port Authority,2021,R,http://www.imdb.com/find?q=Port+Authority
53161,Dry, The,2021,R,http://www.imdb.com/find?q=Dry%2c+The
53162,Djinn, The,2021,R,http://www.imdb.com/find?q=Djinn%2c+The
53163,Ape Star, The,2021,PG,http://www.imdb.com/find?q=Ape+Star%2c+The
53164,KIPCHOGE: The Last Milestone,2021,PG-13,http://www.imdb.com/find?q=KIPCHOGE%3a+The+Last+Milestone
53166,Sweet Girl,2021,R,http://www.imdb.com/find?q=Sweet+Girl
53168,Narco Sub,2021,R,http://www.imdb.com/find?q=Narco+Sub
53170,Birds Of Paradise,2021,R,http://www.imdb.com/find?q=Birds+Of+Paradise
53171,Texas Chainsaw Massacre,2021,R,http://www.imdb.com/find?q=Texas+Chainsaw+Massacre
53172,Grace And Grit,2021,R,http://www.imdb.com/find?q=Grace+And+Grit
53174,Little Prince(ss), The,2021,PG,http://www.imdb.com/find?q=Little+Prince(ss)%2c+The
53176,Separation,2021,R,http://www.imdb.com/find?q=Separation
53177,Mayor Pete,2021,R,http://www.imdb.com/find?q=Mayor+Pete
53178,Conjuring: The Devil Made Me Do It, The,2021,R,http://www.imdb.com/find?q=Conjuring%3a+The+Devil+Made+Me+Do+It%2c+The
53179,Gaia,2021,R,http://www.imdb.com/find?q=Gaia
53180,Here Today,2021,PG-13,http://www.imdb.com/find?q=Here+Today
53181,Guilty, The,2021,R,http://www.imdb.com/find?q=Guilty%2c+The
53182,Mouthful Of Air, A,2021,R,http://www.imdb.com/find?q=Mouthful+Of+Air%2c+A
53183,Drama Drama,2021,PG-13,http://www.imdb.com/find?q=Drama+Drama
53185,Disciples,2021,PG-13,http://www.imdb.com/find?q=Disciples
53186,Show Me The Father,2021,PG,http://www.imdb.com/find?q=Show+Me+The+Father
53188,Black Easter,2021,PG-13,http://www.imdb.com/find?q=Black+Easter
53189,MEHAMOOD,2021,G,http://www.imdb.com/find?q=MEHAMOOD
53190,Night Of The Animated Dead,2021,R,http://www.imdb.com/find?q=Night+Of+The+Animated+Dead
53201,Notorious Nick,2021,PG-13,http://www.imdb.com/find?q=Notorious+Nick
53202,Jockey,2021,R,http://www.imdb.com/find?q=Jockey
53203,Habit,2021,R,http://www.imdb.com/find?q=Habit
53205,Midnight In The Switchgrass,2021,R,http://www.imdb.com/find?q=Midnight+In+The+Switchgrass
53206,Fallout, The,2021,R,http://www.imdb.com/find?q=Fallout%2c+The
53209,Finch,2021,PG-13,http://www.imdb.com/find?q=Finch
53210,American Traitor: The Trial Of Axis Sally,2021,R,http://www.imdb.com/find?q=American+Traitor%3a+The+Trial+Of+Axis+Sally
53213,Occupation: Rainfall,2021,R,http://www.imdb.com/find?q=Occupation%3a+Rainfall
53215,Don't Breathe 2,2021,R,http://www.imdb.com/find?q=Don%27t+Breathe+2
53217,HERO MODE,2021,PG,http://www.imdb.com/find?q=HERO+MODE
53220,Secret Agent Dingledorf And His Trusty Dog Splat,2021,PG,http://www.imdb.com/find?q=Secret+Agent+Dingledorf+And+His+Trusty+Dog+Splat
53221,Hidden Life Of Trees, The,2021,PG,http://www.imdb.com/find?q=Hidden+Life+Of+Trees%2c+The
53222,Life After,2021,R,http://www.imdb.com/find?q=Life+After
53225,Stillwater,2021,R,http://www.imdb.com/find?q=Stillwater
53226,Estate, The,2021,R,http://www.imdb.com/find?q=Estate%2c+The
91772,Prize Winner Of Defiance, Ohio, The,2005,PG-13,http://www.imdb.com/find?q=Prize+Winner+Of+Defiance%2c+Ohio%2c+The
230047,Duster, The,1971,G,http://www.imdb.com/find?q=Duster%2c+The
02245-R,Animal Crackers,1974,G,http://www.imdb.com/find?q=Animal+Crackers
23778 - A,Aaron Loves Angela,1976,R,http://www.imdb.com/find?q=Aaron+Loves+Angela
27495-A,Lethal,1985,PG-13,http://www.imdb.com/find?q=Lethal
AA-101,Thin Air,1970,G,http://www.imdb.com/find?q=Thin+Air
AA-102,Last Day Of The War, The,1970,GP,http://www.imdb.com/find?q=Last+Day+Of+The+War%2c+The
AA-103,Kashmiri Run,1970,R,http://www.imdb.com/find?q=Kashmiri+Run
AA-104,Four Rode Out,1970,R,http://www.imdb.com/find?q=Four+Rode+Out
AA-105,Then Came Bronson,1970,GP,http://www.imdb.com/find?q=Then+Came+Bronson
AA106,City Beneath The Sea,1971,G,http://www.imdb.com/find?q=City+Beneath+The+Sea
AA-108,Earth II,1971,G,http://www.imdb.com/find?q=Earth+II
AA-1407,Operation Heartbeat,1971,G,http://www.imdb.com/find?q=Operation+Heartbeat