When game consoles get old and treated badly, the boards can get very mucky indeed, and when the muck also gets into the game port, games probably won't load reliably anymore.
This video shows how to wash and dry a console motherboard.
The video shows a very dirty Sega Master System console board, before, after and after a quick A/V mod (more on that later).
The principles are the same for any console system; open system up, remove board, wash, leave to dry, re-assemble.