I love Death in Space’s turn order style. One of the players goes first, then they decide which enemy goes next. Then when the enemy is done, they decide which player goes next. This repeats until one side is out of participants, and then the other team’s participants go in whatever order they like.
This avoids any discussion for who goes next, and helps cut down on long winded strategy discussions because there’s no guarantee to the turn order. Gameplay becomes way more focused around taking advantage of the current situation, but you can still plan a strategy.