I've got one of those A1000's (with the signatures) sitting on my desk at home unfortunately it's not in the best shape (however, I DO have the keyboard and mouse). It's actually my first Amiga, bought in 1986. I sold it to a friend in '89 for an A500 (which I quickly got rid of in favor of an A3000). Unfortunately, my friend sold the A1000 a couple years later to someone who let their young kids to do god-only-knows what with it. :-o
The poor thing got totally trashed and was going to be thrown in the garbage but fortunately I was able to rescue it and fix it up (at least to the point of being functional). I don't think I'll ever let it go again.