I saw so many of them that I have lost count. Even in saiki kusuo no seinen, we have saiko like that. Well, I wouldn't call ciel from Black Butler a rich pampered Brat though. He had gone through so much.
If you know about The World God Only Knows, Mio Aoyama from that anime is actually kind. Sure she is a pampered rich kid, but she has a good side. Not all rich characters are that unpleasant.