Without going into too much detail, I do have a soft spot for osananajimi, shy, and oddball heroines. It's not bordering on any sort of complex, but I do tend to gravitate to those sort of routes first. They often can be a mixed bag in terms of quality because of all the common cliches associated with those archtypes, though.
I'm largely fine with all archtypes though, as long as it's done in a fresh way, subverts expectations, or just simply implemented well.