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The real limitation is touchscreen controls, so go for turn based RPGs.
you can buy bluetooth controllers, plug in USB controllers, controllers that encase your phone, controllers that have a stand to hold your phone above it.
Seconding this recommendation
If you invest a few bucks in a decent controller that can connect to android and PC then it opens up a ton of options to you.
I know Bitdo does some popular controllers that seem to be in that sweet spot of decent quality for a reasonable price but I’ve never tried any of them.
I have a Gamesir T4 pro, which gets recognised as an Xbox controller on PC so it’s good for steam games and it has all the features that make it an ideal all-rounder in my experience. It comes with a controller mount so you can attach a smartphone to it as well but I’ve never used it.
I had a lot of fun playing Final Fantasy 1-4 on my phone a long time ago.
SNES and the rest of the 16 bit generation run flawlessly. More important are controls; touch screens are not great, especially when you want to press two keys at once. Action games would suffer the most. RPGs would likely your best bet, and the 16 bit era has numerous classics.
Hardware wise, early 3D like N64 and Playstation 1 run well on many phones, but the controls are a mess. Its often better to get a bluetooth controller with actual analog sticks rather than suffer through touch controls.
The worst is the lack of physical touch, so its hard to know if you actually pressed a button, and hard to tell when your fingers drift.
Download Lemuroid if you haven’t, it’s great
It’s just a retroarch frontend. You can probably just set it to use the citra core. But I’m pretty sure the citra core is no longer available since citra got taken down
Half life with xash3d.