The first actual chess game in the manga is Morphy's famous Opera Game. Makes me wonder if any of the later games are actual games.
Chrono Monochrome! (Chess Manga)

have a look here for some more manga that relates to chess - https://chesslovin.com/chess-manga/ if that might be of any interest
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You guys should check it out! It is an awesome Manga series that has a nice storyline and chess history! Read it, you wont regret it!