Yes, quite a bit: wild boar, quail, horse, bison, ostrich, monkey, snake, still-alive octopus (when it's dead I don't consider it exotic anymore), bird's nest soup (I guess not really a meat, but exotic), and the usual assortment of insects that people fry up and eat.
I've eaten dog once. I accompanied my cousin to his wife's family in the Philippines, where they served it cooked in soy sauce, vinegar, and lots of chili. It's not at all a normal thing for them—buying the meat is very difficult and the taste on its own isn't anything to write home about. I feel like they just did it because they had foreign visitors and wanted to go beyond the other local delicacy: balut.