Inspired by Chess Boxing.
Idea 1:
Pinball Chess (for 2 players)
First play a two player round of pinball on a given machine. The loser gets X minutes and the winner gets X * (winner's score / losers score) minutes, but no more than 10X.

Idea 2:
Xeno's Pinball tournament (No player limit, but would get boring with too many players unless you have multiple copies of the same pin)
Every player tries to score as much as they can on a given machine in five minutes. Then the scores are averaged, and for the next round your time limit is
5 * (your score / average score) minutes. Whoever is in the lead after a certain number of rounds is the winner. Big runaway effect.

Idea 3:
The board game Dixit, but the cards have pinball backglass art on them.

Idea 4:
The Price is Right pinball
Trying to get as close as possible to a given score without going over. Time limit.