It's my sixth New Year's without any friends or celebrations.
How come you don't have any friends?
I'm really shy and I have a high anxiety level
I'm sorry to hear you're all alone. If you feel like you'd rather spend time with friends on New Year's, you should go out and try to meet people.
I wasn't invited anyway.
You could always hold your own celebration, and invite others, if you wanted. If your anxiety level is too high for that,  you could talk to your doctor or a therapist about addressing your anxiety. Likely that would help with making friends, as well.