well, if you aren't worried what Jesus would think if he caught you playing them or watching them, then there probably isn't a problem. Despite the anxiety and the ocd, you've still got a working conscience. If something feels really bad to you, like you literally feel shamed when you are doing it and think of Jesus, then it's a good idea to stop. But, if you honestly believe, that if Jesus walked through your door while playing/watching it, and you would not hide it from Him, then there isn't a reason to stop.
One of my favorite shows to watch is Trueblood, but there are times when I watch it that I wonder, do I really need to be watching this? I don't like the nudity, I don't like how the church they use is portrayed as a little batty and corrupt, and this last season, I didn't like that they were using an orgy monster to summon satan. I used to be able to watch that show without batting an eye, now, sometimes, I turn it off or walk away until parts of it are over. I still like the story, that good conquers evil, that overcoming prejudice gains you valuable friends, that the main character is a Christian, but there are parts of it that give me that icky feeling in my stomach, and I turn away. Should I give up watching it entirely? Maybe. It's something I should probably discuss with God. I should probably see if watching this show is getting in the way of my relationship, or if being offended by soem of last seasons material is a sign that I've grown.
Nobody can tell you what is evil for you to watch or do, because it's different for everyone since we have different perceptions, different personalities, and different walks with God. Look in yourself. God will speak to you through your heart, through your conscience. Put aside the fear that you are doing something wrong, and start listening to God in you. If you are doing something wrong it won't feel right, it's like a bitter flavor on your tongue, you'll approach it hesitantly, you'll debate with yourself, you'll try to justify it. If you're scared of doing it because of your anxiety, you'll know. You know what it feels liek when you are having an anxiety attack. Learn to differentiate the two.
I'm sure your video games and anime are just fine, .hack. Just listen to yourself because your tastes will change as you mature in Christ, but it's not because He's taking your fun away, it's because you'll WANT to change to do things that will better please Him.
Deep breathes .hack