Aaron Paul -- Drinking At Cheers -- They All Knew My Name, Yo

If Aaron Paul wants us to believe he didn't care if everyone knew his name when he walked into the Cheers bar in Boston ... he's full of Schlitz.

Aaron and a pal popped into the famous drinking hole Wednesday to grab a couple of beers ... but everyone was so impressed they probably would have broken out the meth stash if he wanted.

Aaron -- looking a lot like Jesse Pinkman -- took pics with fans and the staff ... whose troubles are all the same.