Ah, good question. What games do I most associate with the Amiga...
Settlers is one, I played that forever, and two player mode with two mice plugged in was great. That was a very Amiga-esque capability.
2D platformers too (Addams Family, Blues Brothers, Lionheart). All with the 16x16 blocks and tasty graphics and cool soundtrack.
Monkey Island and other point and click adventures.
Populous 2.
Edit: How could I forget Another World and Speedball 2?!
