Neither game is known for having a phenomenal art package but GoT LE has better artwork overall (the low res cabinet on LOTR pushes this easily over to GoT LE's high res dragon).
Rules are the strength of LOTRs, but GoT has more paths to traverse. Slight edge to GoT.
LOTRs flows better than GoTLE but not as well as GoT pro.
LOTRs has better dots. The fact that they can be colored makes this area a big win for LOTRs.
Sound package is great on both games, I give it a draw here on music even though GoT has more beats.
Call outs are a bit better on LOTRs and I like the sounds (other than music) a bit better.
The GoT LE light show is far better than the one on LOTRs.
GoT is the faster playing game, obviously, so if you like shorter ball times GoT is far better in that department. By extension, GoT is a better multi player game.
GoT has one of the worst video modes in the history of pinball. LOTRs doesn't have one at all.
GoT has more Easter eggs like the midnight multiball which is amazing for guests.
On the whole, GoT LE is the better game in my view. LOTRs is a great game but GoT is an instant modern classic for Stern.