Wow, good thread. Addictive Amiga games...let's see. Well, I broke a couple of joysticks playing Falcon and Gunship 2000; Pirates! was amazing, I loved that on the Amiga (it's a shame it didn't have the same fidelity as Pirates! Gold for the PC did, but it was still a blast)...
Bard's Tale on the Amy was amazing, loved it.
Deluxe Galaga and...there was an Arkanoid/breakout style game I can't remember the name of right now, damn I used to play that a lot! Scorched Tanks was another good'un.
Oddly, the little platformer/side-scroller games never appealed to me, although now I play the hell out of Black Tiger on MAME for my PC.