You want Ultima Online... Or at least, you would've done 10 years ago, I can't imagine it's quite as thriving a community now as it once was, but like Eve, it was a true persistent, online world that was player-driven and didn't demand a particular kind of play. Personally, I was a grandmaster swordsman and made money via tailoring (and occasionally mining, when it was convenient), but many players made money from all sorts of professions. Woodcutting was a useful skill (to complement carpentry).