Here’s the first no-hitter to join this list. There will be a few others. A no-hitter doesn’t necessarily run up a high Game Score — you have to have strikeouts as well, since they count for more points for you.
Milt Pappas had six strikeouts in his no-hitter against the Padres September 2, 1972. It was good for a Game Score of 92. And almost everyone acknowledges that Game Score should probably have been 93, because Pappas lost a point for a two-out ninth-inning walk that ruined what should have been a perfect game.