I don't even mind wimpy per se. I hate the pathetic self loathing timid characters. Armin in Shingeki drove me nuts. To be fair, he went on to be the coolest character in the series (or at least the one with the most growth).
Oh, yeah, that's what I meant by wimp lol. I don't mind someone who isn't very couragous to begin with but the type of characters you've brought up I'm not too fond of either.