You could play any kind of turn based games over planets. In the future even non-turn based games are going to be played, although indirectly.
A fun game would a real time military strategy game where the delay for both planets is artificially made the same. Then the command delay becomes part of the game, but the game still runs in real time with information updating as soon as it is available.
A fun game would a real time military strategy game where the delay for both planets is artificially made the same. Then the command delay becomes part of the game, but the game still runs in real time with information updating as soon as it is available.