I use EaglePlayer on my expanded A1200 and CD32, but on my low-end systems I use QuadraPlayer. It's smaller than most other mod players, has a nicer resizable GUI, a playlist, scopes, and runs well even on a 1MB 68000, so on a 2MB A1200 it flies. I made this short demonstration video a while ago where I use QuadraPlayer on my 1MB A600 -
http://www.youtube.com/watch?v=aTLvrhlNdycYou can download it here -
http://aminet.net/package/mus/play/QuadraPlayer