In chinese flip cup, the goal is not to flip your cup onto the table after drinking, but instead to flip your cup so that your partner across from you can catch your cup inside of their own. Once this is accomplished, your partner drinks from their beer cup, and then tries to flip it back across the table into your catching cup. The team of partners to flip and catch both directions first, wins.
So you want to get drunk fast and have fun? Try Chinese flip cup