We used to have an elaborate one where you threw dice called "Mexis", then there was called "Fluffy Duck" which worked extremely well - maybe it's just making getting drunk fast fun when you're young and not into liquor for the taste etc.
In "Fluffy Duck", everyone sat in a circle and you went round as fast as possible saying "Fluffy Duck", then when someone said "Does he?" it reversed and you had to say "Ducky Fuzz", then "Does he?" etc. If you stuffed up - easy to do - you had to scull. Very simple but effective.