Yes, they do.
As you know, the Cornetto trilogy is pretty big on foreshadowing.
A fine movie student (posting as guest) got an interesting answer in edgarwrighthere.com (first comment).
Italics : comments added by me.
One. The First Post
This pub should be self explanatory, it is the beginning of the
adventure Gary King (Simon Pegg) and his mates are about to take. The
sign, itself, adds some depth as one could say that they have come to
a crossroads with this journey; both paths will eventually lead to the
prize (completion of the Golden Mile) but the routes will be
different. To some it may be difficult, and others easy. It's safe to
say that it was pretty difficult for Gary and Co.
Two. Old Familiar
This pub is where Oliver's (Martin Freeman) sister Sam (Rosamund Pike)
shows up. Both Gary and Steven (Paddy Considine) had a thing for Sam
as the group recalls and Gary even tries to become "familiar" with her
once again in the same pub it happened 20 years earlier.
Besides the pub is a replica of the first pub. And it ties to the movie main theme. And it also describe the benefit of a pubs : pubs
feel safe because they are fundamentally all the same (a bar, taps,
Three. Famous Cock
Gary King and Co. were not allowed to drink in this bar because of the
events that took place 20 years ago. Gary is trying to seem more
important (cock of the walk) in this city even though no one remembers
him. In a sense though he is famous because he is banned from the bar.
Four. Cross Hands
Gary and Co. go into this pub, have a few drinks and Co. (Peter,
Oliver, Steven, and Andy) try to set Gary straight. This pub is where
a lot of deep emotions come to the surface and everyone suddenly wants
to become violent (Peter when seeing his old high school bully, Andy
when he finds out Gary lied, and the whole fight scene in the
As noted by @Nobby, the background of the sign is a callback
to the bathroom tiles where the infamous fight took place.
Five. The Good Companion
Gary and Co. continue to do the pub crawl but as the sign shows, only
one (the King himself) is actually having a good time while the others
only want to continue to save themselves from the robots.
Six. The Trusty Servant
Now, are they really robots? Anyways, we're getting off topic. In this
pub we see Tyres, I mean Reverend Green and two others warning Gary
and Co. about the danger that is around them. When Reverend Green says
too much, he willingly (but not joyfully, hence the sadness of the
trusty servant) obeys the order of the mysterious beings (as he must)
and disappears. (Also note that this is the time O-man becomes a
Seven. The Two Headed Dog
Now, in this pub Gary and Co. realize that people are acting strange
(specifically MARK HEAP!!) Using Mark Heap as the bartender may be a
joke directed at Spaced fans as Brian was never super happy and
smiling but all of a sudden its his job! We also see the twins change
and everyone suddenly becomes part supportive of the mission to
complete the Golden Mile but also try to kill Gary and Co. as well.
(Note: In the sign there is a dog with two heads, one normal, the
other with ink on it. This could represent the aliens. They look like
us, but that does not mean they are)
Eight. The Mermaid
Now this may be a long shot but it makes sense to me, hopefully Edgar
will agree. I believe this pub is called the Mermaid because of the
Marmalade Sandwich and their similarities to Odysseus and the Sirens.
Sirens are often compared to Mermaids. The Sirens enchanting voices
(sex appeal, in the World's End) would lure soon-to-be-shipwrecked
sailors for their own benefit (to get their DNA). In this case,
Steven/Sam was Odysseus and saved their mates from the Sirens. The
sign is also a Marmalade Mermaid Sandwich.
Nine. The Beehive
Guy Shepherd (1995-2002 James Bond) explains to Gary and Co. the goal
of the invasion, how they are all like a Beehive; working together to
create something magnificent. The group understands that when they say
they're not willing to join, they may get stung (they get into a huge
Ten. The King's Head
Gary KING goes insane and despite the danger wants to finish the
Golden Mile. It's safe to say he is running around like a Cock with
its Head cut off.
And he knocks his head against a post - many times - to prove he's human.
As noted by @Nobby, the portrait has a striking resemblance to Gary King's head
Eleven. The Hole in the Wall
Any crashes the car through the pub, thus, making a hole in the wall.
Twelve. The World's End
The world ends; fire spreading across the globe as in the sign. This
makes way for a new dawn, and a new tale.