Je suis fait!

Today's useful synonyms…"drunk":
Saoul or soûl (pronounced "soo"), the "official" one. Of course, there are countless of slang equivalents:
Bourré
Beurré
Fracassé
Rond (the 'd' is silent)
Blindé
Fait ("fay")
...

More information on this important and vast topic can be found here.