The Czech company Betexa Games company produced a number of classic types of memory/matching games and geometric puzzle games for LOTR, such as:
Tri Pexeso (Tri Memo)
Some box sets include multiple games. Most of their games were for TTT (red boxes) and a few for ROTK (blue boxes). I did not see any for FOTR.
I have rarely seen Betexa LOTR games on eBay US. Occasionally they show up on eBay UK and sometimes the sellers ship worldwide and so their listings appear on the US site as well.
P.S. Betexa has some absolutely amazing paper models, cutouts, and scale models available. Great artisanship …