Due to mismanagement, lack of marketing/R&D, and the general state of seediness that thrived at the post Jack Tramiel Commodore, the Amiga was never a commercial success in the United States, though it did enjoy fame in Europe as a game system.
Popular applications for the Amiga included desktop video (which, as the Macintosh did with desktop publishing, the Amiga practically created), audio production, computer art, scientific research, and, of course, video games. Jurassic Park, Babylon 5, and even The Simpsons and Ren and Stimpy used Amigas for special effects in varying degrees, to name jsut a few of the more well-known entertainment products.
The Amiga was at the heart of the world's first 32-bit CD video game console, the CD32.
Amiga is a survivor, a phoenix.
After the Amiga days, bought by Commodore, Escom, Gateway, AmigaInc (bought by KMOS - 2004 or 2005?).
Now the Amiga rebirth is imminent:
New Hardware based on PPC (AmigaOne/A1 and MicroA1).
New Operating System (OS4).
Eyetech is developing the Hardware while Hyperion is developing the OS. And The Amiga Community is helping testing it and creating new Applications (or porting existing...).
Amiga: Back for the future.