Haven't played the new Arkham Horror card game yet, but Lord of the Rings LCG is very different from Pathfinder ACG, in that you aren't perpetually making checks with die rolls. You have to "puzzle out" your best move given your hand and the cards in front of you. There is risk in the way of card draws (in questing and combat) that might unexpectedly alter the results, but IMO it has a much different feel than Pathfinder ACG. Much more emphasis is placed on constructing your deck, and adventures can be radically different from one chapter pack to the next. We love it (and it also plays well solo).
Thanks for the insight. The reason why I never bought the physical version of pathfinder ACG is due to all the checks and the modifiers to checks. I Just imagine that it would be hard to keep track.