I think one can assume he probably did physical games of skill as Prince Siddhartha like wrestling, racing on horse or foot, archery mayhaps, and those aren’t mentioned.

Of course, one can also take the point of view that looking for entertainment at all is a manifestation of Duḥkha (suffering/lack of satisfaction), and Buddha is free of that so maybe he wouldn’t go ham on Fortnite. I don’t pretend to be learned enough in Buddhism to debate that above a surface level, but the idea of Buddha squadding up and hitting the chug jug in Tomato Town amuses me.

https://en.wikipedia.org/wiki/Duḥkha

If you want to be a smidge pretentious, before Dragonball you can find a Journey to the West cartoon (I don’t know any offhand but zero doubt they exist, its one of the most popular east asian stories of all time.) and watch that, as Goku was modeled after Sun Wukong from those stories.

If you’re okay with subtitles (As I don’t think it has a dub.), Ranking of Kings is fantastic, recent, and more or less age appropriate. Ling Cage and Hero Inside also fall into that realm (Hero Inside has a dub though.) The original Dragonball (Which is about Goku as a kid doing adventure stuff. Dragonball Z is where he grew up and screamed a lot with gold hair.) and Ultimate Muscle both have english dubs that are solid and definitely were bona fide Saturday morning cartoons. G.I. Joe, Pirates of Dark Water, Street Sharks, and Double Dragon can also fill out a list on the more classic side.