I can understand the comments from those who are disappointed by the toning down in the violence in the show. The game was horrifically violent, they've also changed Joel's character quite a bit. He's a lot softer / still retains more of his humanity, in the show compared to the game.
The infected were a lot more prevalent too, however when they are in the show they are a real threat. No smashing them in the head cakewalk ala The Walking dead.
In saying that though I'm enjoying the show a helluva lot, it's a different take focussing on the characters rather than the horror. As games are a visual medium I actually prefer this approach to a verbatim retelling as I've seen it before, many times as I've replayed the game numerous times.
It would be different if it was a book adaptation though, as I would prefer that they stick to the source material, and it's always fun to see how close they get to your imagination.