List of Lego Technic sets with remote controller?
There have been many remote controlled Technic sets over the years. I've organized this list with the most recent generations of remote control elements first.

Control+

Current remote controlled Technic sets will contain a Control+ hub. We can find them by showing the sets that contain that part on Bricklink.

Power Functions

For Power Functions, we can look for sets containing the Power Functions IR Receiver and sets containing the PF IR Receiver V2. It looks like the following sets contain that part and are remote controlled:


Motorized Bulldozer 8275
Motorized Excavator 8043
4x4 Crawler 9398
4x4 Crawler Exclusive Edition 41999
6x6 All Terrain Tow Truck 42070
Volvo L350F Wheel Loader 42030
RC Tracked Racer 42065
Remote-Controlled Stunt Racer 42095


RC

Prior to Power Functions, there were dedicated RC elements used to provide remote control functionality to sets. These can be found in this category on Bricklink. Most of those sets aren't really Technic, but some are. For proper Technic sets, it's probably helpful to look at just the RC sets containing a separate buggy motor instead of the large integrated vehicle base. Those three sets are:


Hot Flame 8376
RC Race Buggy 8475
Supersonic RC 8366