I never used to go for badasses because I never wanted to be that RPer. My characters were often just average people thrown into crazy situations, like my Pokemon Walking Dead character who was actually an out-of-shape cook.
In recent years I have entered one or two RPs in which people are expected to be SOME level of strong, so I did make a few characters that weren't exactly beginners in combat. I always take care to give them some massive flaws though.
Currently, for example, I've put up an SU for Venice with a character who's actually a retired~ badass. xD As she is normally, she is strong but not overly powerful, and for several complicated reasons she tries to stay as far away from combat as possible. It'll be kinda hard to pull off, considering Venice is pretty much a battle RP, but it'll certainly be interesting!
Or my other character in that RP, who has no combat skills and dark gray morals. I'm so interested to see how he might develop.
Really, how strong I make my characters generally depends on the setting of the RP and how strong other characters are. I would never want to make the strongest character in an RP, but sometimes unequivocably weak characters don't make sense - especially in an RP where death is a feature. ^^