Not exactly "the same character", but I'll pretty much always end up with a hot white chick as my avatar. I could probably infuse that choice with some deeper meaning relating to sexual diversity or gender confusion, but really, if I have to stare at someone's ass running around for the next 20-80 hours, it better be a nice ass.
Also, Laurien\Lorien\Lauralanthalasa\La'ren\whatever stupid fantasy variation on the name I'll come up with at the moment, will pretty much always be into stealing anything that isn't nailed down, be moderatley interested in saving the world but not above burning an orphan alive if he looked at her funny, have a tendency to have sex with anything that'll let her, have a manic tendency to run around naked bonking people on the head just to see what happens, and a strong fetish for dragging dead bodies around and arranging them into naughty positions.
Behold, the ADD-clepto-nympho-necrophyliac stalwart hero of the land.