Battlestar Galactica boardgame. It's mostly cooperative, with the chance of having one or two players being traitors, but even without them, it's very unlikely the humans win in the end. It's expensive and needs a lot of table space to play, tho.
Captain Sonar can be an interesting choice, since it can be played turn-by-turn or in real time, with two teams of 1-4 each. If you working with your team doesn't create a sense of connection, I don't know what will.