Aside from beets, radicchio, and eggplant (which I wouldn't even really classify as a "purple" veggie since it's just the skin), I really don't care for any of the other purple veggies I've tried. In particular, I've had purple potatoes, purple tomatoes, and purple peppers. My biggest problem with purple potatoes, is they look really unappetizing when prepared in the manner of traditional potatoes, such as fried and roasted recipes. The golden yellow crust that forms clashes with the purple color of the potato and they just look weird. Especially potato chips made from purple potatoes. Brownish-purple chips just look ugly to me. Mashed purple potatoes don't suffer quite as much as this when served on their own, but the purple color is still odd. I don't anticipate tasting something salty, creamy and buttery when I think of the color purple, so it seems a bit odd when I am eating them. Maybe if they were incorporated with some shallot or red onion that would help.
The purple tomatoes I tried were not only more expensive, but flavor wise I didn't like them at all. They had a weird bitter earthy taste to them. To be clear, the ones I had were about the size of golf balls, not as big as a regular tomato, but not a "grape" tomato either. I forget what the name of the variety was though. It was a similar issue with the purple peppers I tried. They were closer to the bitterness of a green bell pepper, but not something I would spend extra for. Red and yellow peppers are already like twice as much as Green peppers in our stores, I'm not paying extra for a purple pepper when I don't even care for the taste of them.