It was magical.

Multitasking! The ability to pull down the top of the screen and reveal another screen fully running in the background.

And of course, the graphics. HAM mode. Demo disks with crisp animations over (relatively) high-fidelity music.

I was 14/15 when we got our Amiga 2000 (upgrade from C64). Maybe if I'd been 25 it wouldn't have hit in the same way. But I miss those days.