I'm going to stop going to bars with my best friend because he is much more attractive than me.  I'll just lie that I'm busy at work.
It sounds like you're jealous of him. You shouldn't stop going out with him because he's attractive.
So, I don't want to feel bad about the way I look, so I could live with myself. I would not have to worry about if someone finds out I'm less attractive, and so no-one will judge me.
You shouldn't compare yourself to your best friend. Everyone is interesting and attractive in their own ways. Instead of feeling insecure and jealous, you should work towards improving the parts of you that you dislike.
I disagree. I don't want to be seen with him and compared.
This really sounds like a case of jealousy to me. You should work on getting over this, so you can still go out and enjoy yourself with him.