I own GOT LE & Batman LE. I can't ever see either game leaving my collection...so here's my take.
Batman is very fun to play, but GOT gets the adrenaline pumping.
Code wise, when both are complete, I think GOT will have the better code, because of all the different strategies with the houses.
Art work on Batman is better than GOT Premium. I think the GOT LE art work is great. There were a couple LEs selling on here cheaper than a new GOT premium.
Sound wise, I give it to GOT. Batman has very campy sound...but it's suppose to be.
I don't think you can go wrong with either one. Both are games, IMO, should be in everyone's collection. I would say with GOT...very few games can get the adrenaline pumping the way that game can.