Is coffee ever completely not bitter?

I've never had coffee before that is "good" enough to not have that edge of bitterness. The closest I've ever come is with cold brewed coffee.

I see people on here talk about coffee that's great black with no sugar or anything. Isn't coffee, by nature, always bitter?

Edit: I never said I was displeased with it, I'm actually fond of the bitter tinge. But sometimes I'd like to try a cup that doesn't make me want to add milk or sugar.