Textures bother me more than tastes. Examples of things that just feel too weird in my mouth (giggity) are pickles, tomatoes, mushrooms, beans, tapioca, and avocado. x-x I get this way with meat too, unfortunately. Chicken cartilage makes me cringe, so does pork fat if it's not cut thin enough. However, it doesn't stop me from eating meat. I'll eat the parts that don't bother me, which sometimes makes my plate look like a bird pecked at it.
Seafood is another thing for me. Every one of my senses get offended by it, and I have allergies to some.