R Λ Z Ξ R Kishi, or Xbox Core Controller with MOGA PowerA Clip
Android Emulators are most compatible with those controllers. Use DIG as an organizer for all your emulators and some apps are still not optimized on Android 11 to use SD Card access but DIG can be used to bypass this if you plan to store games in SD Card. Otherwise, use emulators as you please without DIG.
You can use DualShock 4 controllers or DualSense controllers as well but sometimes there is a compatibility issues or remapping that has to be done for it to work properly with some Emulators. Up to you.