Interceptor and Xenon2 made me to buy Amiga (along with Deathstar and Red Sector megademos
. Later on there came lots of other games, but I'm too lazy to list them... well ok.. here's couple.. Lemmings, Shadow of the beasts, North and South, Speedball, Superfrog, The Settlers, Supercars2, Pinball Dreams, Wings, SWIV, Syndicate, Nuclear war, BattleChess, Virus, Another World, Stunt Car Racer, Kick Off, Sensible Soccer, Cannon Fodder, Oil Imperium! And lots of average (now bad) games, which attracted at the time
Oh and Microprose Formula One Grand Prix.. year (or so) before the PC version