You are right, that’s something that I need to work on. A simple temporary fix would be to have the top right button (the one that displays the bubble with the number of games it’s your turn on) to take you to your first game that it’s your turn on (I mean open the actual game).
Another thing that would make sense is that the active games list is sorted and that the games it’s your turn on are always at the top.
A third thing would be to somehow show them differently (e.g. different colors).
What do you think would be the best solution?