Patrik, You are right, I was thinking of 3.9, not 3.1.
But then most old programs that were written for 1.1, 1.2, and 1.3 don't run well or at all on 3.1 or higher. My point is that if the A1000 is still stock, no hard drive or accellerator, what good is it to run 3.1 or higher with those old floppy disk programs. Maybe I am wrong and there is benefit? If the original poster installs an accellerator in his A1000 he will be able to run whatever Amiga OS he wants (except 4.0, unless he can figure out a way to install a PPC)
The stock A1000 doesn't even have a ROM socket and to my knowledge there are no 3.1 Kickstart floppy's available because 3.1 can't fit on one 880kb disk, can it?
For me, the A1000 is just for old programs and games, but that is just me. :-D