Best to play the games through emulators or open source sourceports rather than paid store releases. As another comment mentions, you never know when the company that made the port will stop updating it for new OS versions.

ScummVM works well for playing old point and click adventure games on Android phones. More screen real estate on a tablet couldn’t hurt. Supports over 250 games. I’ve gotten tons of playtime out of it.

I regularly play turn based RPGs on my phone through Retroarch (and more recently Lemuroid which is the same core but minorly better UI).

I also use a handful of emulators and source ports with a controller mount to play more action-y games off my phone, but I don’t think that’s what you’re looking for with playing on a tablet.

For tablets, stuff I’m aware of but haven’t used myself: There’s android ports of OpenXcom, OpenTTD (I think), and Theme Hospital.

There’s also a pretty long list of source ports here, with the OS’s they support listed.