I prefer board games where the players all work together to achieve an objective. When playing games where only one player can win, I don't care if I win or lose, as long as I had fun. That sounds cliche, but what I mean is: did I have a game where I felt like I had lots of good options to work with and got to use my resources well? Fun, even if I lost. Did I have a game where I felt stymied at every turn even if I ended up with the most points? Not fun.
I'm glad I proofread before posting because I had a typo "I don't care if I win or lose, as long as I had gun" which would have changed my intention, but been funny.