In most games, sooner or later you get into combat. And most characters try to have some combat skills... but it can be interesting to play a non-combat character, and spend those points/build in something different.
But then, when it comes to combat... what the hell do you do?
Currently, I'm thinking of a Cthulhu style game, but there are plenty of games where it comes down to combat sooner or later. What are some good things to do with characters to be helpful that isn't sitting out of way, and making the other players (who did take combat skills) wish you hadn't turned up?