It could be as easy again as something near the pins/connectors , up to resistors no longer having resistance or worse , the feeling heat on the board is usually a nice way to find out where it is coming from, but without any external devices connected it still cooking, hints at a physical problem.
Not sure on what toys you have at home, but schematics are in the documentation , so depending on how badly you wanna fix it and go find out from here
I guess near or next to the heat there could be something causing a short cooking it and breaking things, but if there is nothing optically obvious that looks more worn then it should, a multi-meter is more then just handy.
If you have a modular power-supply you could just increase the power and see which part blows of the board first but that’s a bit of retro troubleshooting, so I cannot advise this route without having a pile spare-parts on hand.