London system, that way you wont screw up anything soon at least. Good luck playing drunk!
I play like Mikhail Tal...

What's the best opening to play while drunk?
Play the Center Game (1.e4 e5 2.d4), that way, if you really are wasted and screw it up, thinking that you touched the e-pawn and you really touched the d-pawn, then when Black opposes with 1...d5, the pawn to the left doesn't result in a blunder, and now instead of the Center Game you have the Queen's Gambit!
What's the best opening to play while drunk?