Theres some element in the older julian gollop games that you could interact with. For example, you could wield a lawnmower and cut grass, or take a coffee token and get a coffee. Theres doors, and in the 12' game you can disarm bombs.
Maybe theres more xcom stuff you can interact with. Maybe a door control for the back door of the skyranger that takes 100% of all action points and takes place at the end of the turn, or the controls.
What about other things that could make a difference in a battlefield with a moments work?