Well I think Populous is a good example of original amiga innovation that started a genre, Mega lo mania another classic, Lemmings, Worms, Sensible Soccer, Cannon Fodder, Chaos Engine, Elite/Frontier, Simon The Sorcerer, Beneath A Steel Sky, Formula 1, Last Ninja 3, Turrican II, AnotherWorld, Wings, and countless others.
I think the amiga had a much more diverse and interesting catalogue than any game console at the time.
To say that the Amiga was just trying to badly emulate other systems does the format a disservice.
The Amiga was innovating when the pc only had monochrome graphics, long before the "genesis" & "Famicom where thought of. Even during the A1200 era it had a strong enough & unique game library to compete on a similar level with the other formats, even held back by the incompetent commodore managment.