I never had one (I came in with an A500) but I firmly believe it put the kind of power in peoples hands (Everyday people according to Arrested Development) that had only dreamed THEIR computer could carry out such tasks.
The Amigas history is pretty damn amazing.
(I have intentionally opted not to comment on the Amigas future, although I believe that has the potential to be pretty amazing too...)
... D'OH!