I didnt own an Amiga until a few years ago, so most of my long ago game memories are on the C64. I was always fond of classic arcade type games (Pac-Man, Space Invaders, Frogger, fighting games etc) for their group entertainment value. Pulling out games like that for parties is one of the main things I use my C64/Amiga for now. I also used to really enjoy RPG and simulation games like Ultima IV, Seven Cities of Gold, SimCity, etc.
These lists gives me a good start on Amiga games to check out, so, thanks.