Not sure how old your son is, but Super Mario Odyssey can have one player as cappy that never gets hurt or dies. Could be a good option if he's young or not that coordinated yet.
The Super Mario games are generally two players (or more). The two that come to mind are Super Mario Bros U Deluxe and Super Mario 3D World. The only caveat on this one is you can run into each other. It can be good as it promotes teamwork in certain circumstances, but sometimes you basically end up killing the other person which can be frustrating at times.
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