For this batch - Nackgammon is the main gammon game which has been longest since last team tournament. Dark Chess, Go, & Linetris never had a team tournament before Checkers - only 1 team tournament before, very long time ago.
I'm always open to suggestions on what to create - as time goes on, I will try to mix in different times, maybe a "fast" 1 or 2 day game, some cubed gammon, etc... Please feel free to send me a PM with any suggestions.