8Bitdo is the king when it comes to controllers for emulation. My go-to for every system up to PS1 and N64 is the SN30 Pro
It feels like a heavier SNES controller, which is perfect because the originals are just too light for my taste. Bluetooth performance is fantastic, you can even get less input lag than the original hardware if you use RetroArch and it's run-ahead feature. The analog sticks feel good and are great when playing N64 and PS1 dualshock compatible games. The only negative is the R1 and L1 buttons are a little on the thin side as they had to make room for the R2 and L2 buttons. For any games that use the triggers extensively, like Gamecube and PS2, then I switch to the SN30 Pro+
That one is fine for playing the more retro system as well, but to me it just feels better using a smaller controller. I have tried using a PS4 controller as well, but it's bluetooth performance just isn't very good. And Xbox controllers are only good for newer systems because the dpad is trash