Best of Amiga Demos (from 1988!). As you can see from the screen capture, the original Amiga models used floppy disks rather than everything being stored on and run from a hard disk.
The signature demo of the graphics capability was the Boing Ball demo, shown below. The Amiga was also used to drive Video Toaster software, an early non-linear editing system used for generating specialized computer graphics used in television and movie production .
 a forthcoming book by MIT Press (which I previewed on Tumbld Thoughts) and a never-say-die fan base.
 the Commodore 64 served as the progenitor of the Amiga, as the Amiga combined the usability and graphics capabilities of the C64 with a modern operating system design. MorphOS was a descendent of the AmigaOS designed for PowerPC Macintosh machines (as they shared a similar motherboard architecture at the time).
 the development of interesting and sophisticated (for their time) games and software were another matter. Here are a few examples: Demo 1 (on the Amiga 500 circa 1993), Demo 2 ("Sanity" from World of Commodore, 1992), Demo 3 ("Syndrome" from 1994). Keep in mind that these were programmed during the late 80's and early 90's.
For more detailed information, please see a video documentary called "History of the Commodore Amiga" on YouTube: Part 1, Part 2, Part 3, Part 4,
 there is no sign of opening the kernel (Exec) or GUI (Workbench) up to open source developers (at least that I am aware of).
 very informative historical and instructive video with lots of information on current AmigaOS apps.
 here is a demo video from Newtek on the capabilities of the Toaster, circa 1992.
 the latest proprietor of the hardware and software technologies (Amiga Inc) are trying to focus on mobile applications. However, it is appeared that their website has "gone silent" on the matter.