One idea is you could have a game that shows both players different views of the board. For instance show certain properties of a piece to only one player. Sort of an extension to what games like stratego do.
Feels like there's an opportunity to do something with a boardgame that has a focus on deception.
That's a good one.
Years ago I saw a boardgame in a magazine (Diplomats, by R. Wayne Schmittberger), where you're working with pieces with different powers on a grid (like chess), but you're diplomats (ambassadors, chargés d'affaires, etc.) trying to escort slow & weak citizens to the enemy's home base.
It would be neat to do a spy extraction game like that, with the addition of augmented reality. There's a bunch of pieces representing citizens, and you're trying to get a few of them (your spies) to the extraction site. You know which ones are your spies by looking through the A.R. screen, but not your enemy's. (But you can mark a few hypotheses and follow their progress, again by looking through the A.R. screen.) So you're trying to set up safe passage for your spies without letting on which ones they are.