I still don't understand the difference between Ameritrash and Euro, but I know what I like, which is primarily, but not limited to, thematic games with a coop or semi-cooperative mechanic.
Some of my current favorites;
Munchkin (Any version, all fun)
Last Night on Earth: The Zombie Game
Ticket to Ride (good game to play with the straights)
D&D Adventure System
What do you guys like to play?
Bloody but Unbowed