And man, the Multimedia Software. Deluxe Paint was THE pixel editor for its time. Not just on the Amiga, but it was used to create graphics for many, many other systems like the SNES as well. It's only logical that it was created by a video game company (Electronic Arts). Then we got the early 3D stuff, including Lightwave 3D and Cinema 4D. Presentation stuff like ScalaMM (and yes, I know that Hypercard existed on the Mac many years before). Genlock/Video Stuff thanks to Newtek's Video Toaster. And not to forget Brilliance/True Brilliance in case you had an AGA system or the holy grail, a graphics card. It's a shame that stuff like Final Writer came along very late, because I remember it being pretty great as a word processor. I think that Wordworth was the popular one before it.
The pure elegance of ASSIGN/virtual drive letters is also one of those features that seems pointless until you used it with removable media. Arguably though, in this day and age it's no longer needed.
One could write a history about how the Amiga was amazing without mentioning a single video game, so the fact that the Amiga 500 was the ultimate video games machine for a while (until the SNES/Genesis came along) doesn't take away from how great the system was as a work computer.
As you said, it really feels like a machine that has traveled back through time, a system that should've been released in 1994 but was actually released in 1985, and then got significant upgrades in 1987 with the Amiga 500 and 2000.
But enough gushing about it, it's unfortunately all in the past, and as much as I want to embrace Linux, it just lacks that cohesion that the Amiga had.
