After a pretty punishing year for wallets on Kickstarter, things have slowed down for the holiday season. Nevertheless, there are a couple of active projects that offer options for solo play. My own dollars are tied up with Nemo's War at the moment, but maybe one of these projects is for you:
Stalingrad: Inferno on the Volga
If WWII is your thing, you may love Stalingrad: Inferno on the Volga. This project is very obviously a labor of love, with game maps based on actual photographs of the areas you encounter in the game. Stalingrad also started life as a solo game, which means that it is tailored to the single player experience rather than having a solo mode tacked on at the end. If you are both a gamer and a history buff, this might be a good choice for you.
It's simple, it's quick, and it fits on a game board the size of a large postcard. Postcard Dungeons is currently designed for 2–6 players, but solo play is possible if you don't mind trying to beat your own score. One of the later stretch goals is a co-op mode that would make more interesting solo play a possibility.