I haven't heard good things about the GoT LCG, but I really like Gloom. My copy is still in shipping, sadly, and I've only played it once. Cristen was dubious, but I'm pretty sure she enjoyed the game we played with my brother. The transparent cards are just ingenious, and the storytelling that we do with the cards is insanely fun
What have you heard? I fuckin' love the GoT LCG... but I think it has a lot to do with family dynamic. My mom uses the Barratheon deck, her boyfriend plays Targaryen, I always play house Stark, and my brother is the Lannisters. My brother and I have favorite cards that we make a huge announcement when we play that character from our deck... some cards we've made up songs for...
Whenever a character is killed, we try to make each other feel guilty. Like, I have an Old Nan card that dies constantly and I hold it out for everyone to see and in an old lady voice I say, "Oh, my sweet summer child, you've killed an old woman. I hope you're proud of yourself. May you burn in all fiery pits of the seven hells" No guilt is ever felt when my brother's beloved Cersei Lannister card is killed. (Although he surprised me once after I killed her by taking off his shirt in a rage... and he had all these gangsta Lannister tattoos drawn on him)
Aside from all that ridiculousness, the game itself is pretty good. Once you get used to it, it should only take 2 hours or less to gain the power you need to win. Each round has surprises and limits that can upset your plans, so it's anyone's game. Each house has it's strength's and weaknesses (Starks have excellent military strength, but close to no political intrigue strength) and each round you get a different advantage of being King of the Realm, Master of Coin, Kingsguard, etc.... I own two copies of the game and have a shit ton of the expansion chapter packs.
Man, that and the new trailer for season 4's got me all wanting to kill some Lannisters.