I'm going to try to address all of these replies at the same time.
Anastasia-- That does sound like a good idea, I'll try that and see if it helps or if he's one of the people who thrives on conflict. I am usually very non-confrontational, so I'm a bit confused as to why with him it's so easy to fall into conflict.
Phoebe Ann-- Right now, his spiritual life is struggling. He doesn't go to church often or read his Bible much. I've been looking into couple's Bible studies, but I'm not sure if he would do one with me. Starting small and thanking him sounds like a viable solution.
drjean-- We have been married just under a year. New activities I think would help, but he doesn't necessarily have the stamina required for anything outdoorsy and when it comes to being inside, he'd rather watch movies. I'll keep thinking and see if I can come up with something new for us to try and connect.
4x4toy-- I feel like it's all about him, but I'm also biased and his answer may be different. I know that I can be pretty self-centered as well, but it's something I'm actively working on and growing towards not being. When we fight, in the moment it feels like we both have to be right, with no thought of the bigger picture. Since my husband is my head, I think if I learned to take a step back and see the bigger picture, then it would help stop the fights from escalating.
Ana the Ist-- Some examples (that in hindsight are things that I should have just let him have his way with, but hindsight is always 20/20): what movies to watch, whose turn it is to take the dog out, chores and whether they're getting done/ if I need him to make me a list of chores he wants me to do (I say no because in my mind that sets up a parent/child dynamic, and I don't want that; he gets mad that the very specific things he wanted me to get done didn't get done), or work (right now I'm the sole breadwinner in the house). I can't think of anything big that got pushed aside or left unresolved.