All black holes look exactly the same, apart from size. I imagine there's probably some variation in the accretion disc, but probably not massive variation. I doubt there's vast visual difference between black holes.
Nah you can get a lot of funny stuff. Spin and related frame dragging will change its appearance (though almost all holes in nature are probably spinning Kerr types, unless they've been spun down with Penrose robbery). There'll be effects on the accretion disc and its apparent separation from the event horizon depending on spin type, presence or absence of polar jets, jet mechanism (also linked to spin type), the event horizon becoming oblong with higher spin, and, best of all, exciting differences if you dip your head into the photon sphere to see what's trapped there!
The big changes in appearance would be due to spin rate, matter in the ergosphere, and jets.
e: Also holy **** we skipped over the BIG difference - a tame, domestic stellar mass black hole couldn't look more different from an active galactic nucleus, our ol' buddy the quasar, which is among the most luminous things in the universe. Different types of black holes have the VASTEST visual difference!