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Wiktionary
high score

n. (context video games English) A score that is the highest or among the highest for a particular game, often recorded in a high-score table.

Wikipedia
High Score

High Score refers to the highest score in a video game.

High Score can also refer to:

High Score Girl, a 2010 Seinen manga series written by Rensuke Oshikiri and published by Square Enix.
High Score!: The Illustrated History of Electronic Games, a book written by Rusel DeMaria and Johnny Lee Wilson and published in April 2002.
Hi Scores, an EP album by "Boards of Canada" released in December 1996.
High score Scrabble, a variant of the board game Scrabble.