Gyroscope:
DualShock 4, Dualsense, Nintendo Pro Controller or Joycons, some 8BitDo models and some other third-parties.
Touchpads:
Outside of Valve, really only Sony controllers, but I find the touchpad to be way too out of reach to use for anything that isn't quick shortcuts.
There is a third-party controller called "DarkWalker ShotPad" that packs both Gyro and a big ass touchpad, but it only emulates a Keyboard and Mouse (so no Steam Input) and people online complain the touchpad is awfully low resolution so...