rook + bishop vs rook
You can check an online tablebase to see if a specific KBR + KR position is a win or a draw. Normally they are draws, but sometimes they are wins, especially if the defending king is stuck close to one side of the board.
This is quite a good tablebase site. It does all 6 man endings:
http://www.k4it.de/index.php?topic=egtb&lang=en
I recently played a game having rook + bishop against rook end game. For the first time it went to the 50 move rule. Is a draw typical in such endgames?