I voted for the Classic II as second best among the black and whites, but I really think the Color Classic and Color Classic II were the best of the bunch and I consider the 5xx machines to be "All In Ones" rather than compacts. A compact can be an "All In One" but an "All In One" can't be a compact.
I will give my vote to the Classic ll as the second best compact mac. Last of the line of black and white compact macs. The clean modern look is easy on the eyes. With the 1.44 floppy it is more usable than the early 400-800 floppy drives. The 16mhz cpu works at comfortable pace. I would just love to put the optional fpu into my Classic ll, but they are a bit difficult to locate.