I agree, I avoid PvP games and turn of any PvP element in games that allow that. Singleplayer games and MMO's that focus on PvE (even in group situations) are just a lot more fun for me. I like multiplayer games as long as you are not actively working against each other.
Recently I participated in the RuneScape 3 fresh start worlds and went for a top 100 spot on the Agility hiscores. And I just notice that I start spending way too much time on the game when I try to compete with other players.