Ouch, very tough choice. I own all 3 and I can't decide. Right now I may have to sell STTNG to make room and it is killing me - I can't seem to do it and the only reason I am even consdidering it is because I have owned it the longest (almost 6 years). It is a great game they all are.
I could never let LOTR go, even though it is the pin I play the least because games can be in the 40 minute range and I don't have stretches of free time that last that long too often - it is very immersive and probably the best integrated theme ever.
My Tron (LE) is a beautiful beast that can eat you up with the speed and I love the sound/art package and the flow of the ramps. I would only sell it if I had to choose between it or IronMan (which IMHO is the best game ever - always keeps me coming back for another beating - nothing like completing Jericho).
So that only leaves STTNG which also has great theme integration. Mine has always worked amazingly well so I can't comment on it's reported nightmarish maintenance issues.
So for me STTNG would have to go (but it will kill me when that day comes).
Chosing one is an easier decision as they are all great - you really can't go wrong - letting one of them go now that is a tough decision.
Good luck.