The games that are really Amiga-ish, are:
Settlers
Cannon Fodder (2)
Turrican (2)
Lotus (2, 3)
Supercars (2)
Speedball (2)
Gods
North&South
Shadow of the Beast
Chaos Engine
Alien Breed (2, 3d)
Monkey Island (2)
Defender of the Crown
Moonstone
Xenon 2
Zool (2)
Superfrog
But for the "Icon of the Amiga" I'd say Guybrush Threepwood from Monkey Island
(That game really shows what the Amiga is: a game computer, rather than a gameconsole - point 'n click with mouse and savegame ability)
