Screenrant answered it pretty well:
Earth 89: Tim Burton's Batman Movies
Tim Burton's Batman films are represented in one quick cameo, which confirmed it as Earth-89. Danny Elfman's familiar Batman theme plays as the Bat-Signal burns bright in the red skies over Gotham City. This is observed by a man in a trench-coat and fedora, who mutters "I hope ...
You are missing out few, will try to answer in chronology:
From Supergirl S05E08:
Tim Burton's Batman Movies: Alexander Knox (Robert Wuhl) cameo who was the first to report upon The Joker's crimes
Titans: Hawk (Alan Ritchson) and Jason Todd (Curran Walters) cameo
Batman (1966 TV series): Older robin shout "Holy Crimson Skies Of Death!"
Freedom Fighters: ...
First thing first there is no Crisis on Infinite Earths S01E01? As it's not a different show but a crossover of five existing Arrowverse showa with some extra additions.
First Crisis on Infinite Earths is not limited to The Flash and Batwoman and if you don't know other shows you might end up getting confused. Also, Crisis on Infinite Earths is 5 episodes (...
From Crisis: Episode 2 (Batwoman)
Legends of Tomorrow have retired and Mick Rory is left inhabiting the Waverider
Batman (Kevin Conroy) has retired and can only move thanks to an exoskeleton.
Superman of this Earth is killed by Lex Luthor wielding the Book of Destiny
Superman (Tom Welling) has given up his ...
I am up to date with only Flash and Arrow
You should be fine.
To date only Flash and Arrow have had the Crisis as a plot point, the other shows have not featured any elements of the proposed crossover although characters from other shows are expected to feature in the crossover episodes.
At best, the pre-crossover episodes of other CW /DC shows have only ...