And I can't think of a single reason why I would ever need to peel anything, so I don't have a peeler of any kind. I just eat the skin!
I don't peel potatoes, since the skins have never caused stomach irritation for me, but peeling tomatoes is a regular occurrence in my kitchen ... the idea of peels in marinara / red sauce, gazpacho, chili or the like just nauseates me (mostly because cooked tomato skins have a pretty nasty texture). I don't use a peeler, though ... just score them, drop them in boiling water, then shock them in cold water, then drain and peel with a paring knife.
My mandoline, though, I'd die without. Nothing better for slicing up a metric ton of vegetables or meats in about six seconds flat.