I use a Luxman PD-277 for classical, a Thorens TD-150 for rock, a Sony PS-X5 for country, and a Crosley for pop. Oddly enough, if I move the cartridge from one to the other, then the Luxman becomes good for rock and the Thorens plays classical well. Actually, if I move the cartridge around all of them, they all sound the same. The only one that doesn't do better is the Crosley. I wonder why.
Genre specific turntable? Nonsense.