the ps3’s pretty permissive about USB devices so i got a mayflash adapter to use my wii U pro controllers on them back in 2013
iirc you still need a licensed ps3 controller to bring up the XMB but you can navigate the XMB with any controller
pressure-sensitivity won’t work
obviously that only made sense because i already had the wii u controllers, but if you have another controller you like already, look into USB adapters. e.g. the magic-NS works on a ton of different HID devices
System Compatibility
Switch . PlayStation 3 . Windows . Steam Deck, Raspberry Pi. macOS . NEOGEO mini . NEOGEO Arcade Stick PRO . SEGA Genesis Mini . SEGA Mega Drive Mini . Sega Astro City Mini
Controller Compatibility
Bluetooth Controllers: DualSense, DualShock 4, DualShock 3, Xbox Series X/S, Xbox One Bluetooth controllers, Xbox Elite Wireless Controller Series 2, Switch Pro, Switch Joy-Con, Wii Remote, Wii U Pro.
Wired USB Controllers: DualSense, DualShock 4, DualShock 3,Xbox Bluetooth Controller, Switch Pro, ASTRO Gaming C40 TR Controller PlayStation 4, PlayStation 4 SCUF Vantage 2 Controller, SEGA MEGA DRIVE and SEGA Genesis Mini USB Controller Pads, Logitech rumble gamepad F510 and F310, PS Classic Controller, Switch Taiko Drum, PS4 Taiko Drum.
if you want feature parity with the dualshock 3, retro fighters makes a bluetooth version of the defender with rumble, sixaxis, and pressure-sensitive buttons
it’s kind of pricey ($45) but it’s a brand new wireless ergonomic dualshock 3 replacement
i don’t think hori ever made a wireless pad with sixaxis and pressure-sensitive buttons for the PS3 but i may be mistaken
same goes for 8bitdo but any of their wireless pads would work with their USB dongle (maybe bluetooth). i used the ultimate bluetooth with mine before switching to pressure-sensitive options because i was playing MGS2/3