The amiga had many crap games but there's classics that stand out to this day

The ones I find myself playing over and over:
Gloom, Alien breed (all of them), chaos engine, super cars 2, worms DC, Battle isle, historyline, Dune, Turrican (2 and 3 mainly), Warlords (certainly not up to amiga spec, but a damn fine strategy game), UFO (xcom to you yanks), Lemmings 2, Settlers and a bunch others.
For long term enjoyment, RPG's, adventure games and strategy for the win.
god damn.. can't write one of these lists without hitting submit, and forgetting something. HIRED GUNS!