Yes, Max-- "peppers" like mushrooms, is such a general term. Most americans are familiar with bell peppers, and the yellow, orange, red, purple varities are all a shade of green when immature. (but not all of them are sold immature as "green peppers") many "chili's" (chili peppers) also change color. But not all peppers do.

The varities sold in most US markets are select for the ability to ship well, and stay "fresh" a long time (as are most vegetables) to get the interesting peppers-- you have to grow them your self-- and they have a long growing period-- and i am 1) to lazy to start them early enough, 2) inclined to a perennial gardern, so i have soft fruits and herbs, but no vegetables. I make do with the same old peppers readily available in the greengrocer.