I know a lot of guys on here get the old social anxiety. Here are a few things I've noticed in my own behavior that I work to correct. If anyone else wants to chime in, I'd be glad to read it.
1. Silence is okay. When I started branching out socially, thoughts would rush through my head like "I'm not talking enough, I'm talking less than other people. What I said wasn't high enough value." etc. etc. It's much better to be silent and projecting confidence and comfort in the situation than to try to hard engaging in the conversation. Let the words come naturally, when you feel good about an input. It's good to strive to be a good conversationalist, but if you're trying too hard you just come across as desperate. When its 3 AM and you're driving someone back from a party, you're both tired. If the person you're with is burned out, observe this. It's more important than interacting with them.
2. It's okay to hurt people's feelings a little, especially when you can spot their underlying motives. If a girl is clinging to you and makes requests of you like "call me when you get back home," don't cave too much. This shows weakness and a desire to please, and shows you are easy to control. There's nothing wrong with being nice, but don't overdo it. If your neurons are tweaking and you just really want to call her because she gave you attention, stop and look at the situation logically.
3. Nothing is a big deal, especially arguments. Don't be afraid of them, but don't look for them. There will be many miscommunications in your life, get past them from a place of calm.