By adding some wires and a breadboard to the Otto "Smart Expansion", I can now play games on the OLED. Thanks to @Martinez Martinez and Camilo Parra Palacio for helping me trouble shoot a coding issue. I'm using these wire connectors at the back of the expansion so that I can connect the wires between the programming board and breadboard when I want to play a game (I don't like the connectors though--they're not easy to disconnect). I disconnect them when not playing. I'm using the space where the sensor would go and keep a connector in place with a hot glue gun.
To date I've played two games on the Otto OLED: 1) One player Pong with wiring and code courtesy of UT Source; and 2) Tic Tac Toe from giobbino. I really like this two player Pong, but (I think) that would have required a few extra wires coming out of Otto. I'm new to Otto/arduino/coding, so it's a pretty basic remix. I'd love to hear what ideas and suggestions others have to take it to the next level!