Our team interpreted the theme with 3 major possibilities:
1. Something involving button mashing. We're looking at rethinking the controller itself as an input device and how that can affect gameplay. I shared my thoughts about that here.
2. Splatoon. If you're not familiar, this is a Nintendo game where players in an arena shoot ink all over the floor with the goal of covering the whole stage with their color ink. Splatoon could be a whole genre of game that fits into the theme.
3. Finally, "spam" could mean the literal canned meat, and it could be any game incorporating this. Similarly, "spam" could mean spam-mail and involve a game about a Nigerian Prince or something (but please, try not to be racist).
I hope this helps anyone struggling to come up with ideas.