The opposite of One More Turn... basically, you played to finish and then didn't really play again... or you play it in a lackadaisical fashion, not really bothering to do anything (story missions or sidequests) other than mildly entertaining random crap.
For me: games like GTA, Dead Rising, Halo, Fable (auto-save renders OMT ineffectual), Chain of Memories, Dirge of Cerberus