Well, the Amiga was better than the PC when it was released, for games anyway.. I think that's pretty much a fact?
And it was damn impressive in the following years.. naturally, near the end of its life, it could not keep up with constantly evolving computers.
And yeah, I do include many games from around the middle of the Amigas lifetime and I think doing so is very fair and gives the most correct impression of how cool the Amiga was back then
EDIT - btw, I agree that the Amiga/ST video is awesome!