The Floormate can be used on wood floors, although I would recommend the floors have a polyurethane finish. The machines typically come with a bottle of Lysol floor cleaner for vinyl/tile, and Old English floor cleaner for wood flooring.
The Floormate may not be able to get into crevices like grout between tiles - although later models have an extra stiffer brush assembly that might do a better job of it. I use my Floormate on textured vinyl flooring, and it does pretty good at that. Typically though I pre-treat heavy stain/soiling with a spray bottle of diluted cleaner and a stiff long handles floor brush. The main advantage (to me) is that the Floormate can then be used to go over the whole floor, and it sucks up the dirty cleaning fluid as it goes. Typically I also run a conatiner of warm tap water to "rinse" the floor before waxing.
Hoover used to make a hard floor cleaner in the past, much larger and heavier; I forget the name. It's been out of production for a while so it would be a collector type of item.