Former EVE Online developers are building a society simulation MMO where your character keeps playing even after you log off
(cdn.mos.cms.futurecdn.net)
It seems promising? Has anyone been in the playtests yet?
The biggest difference I see in what they’re proposing is that, in EVE, yes you train skills while logged off but you can’t be ganked, and in fact, logging off is a way to protect yourself from ganking in some circumstances. In the new game, presumably you can be ganked while logged off.