To match "anyone" it should be "does", but I'm not convinced that "anyone of you" is very good English. "any one of you" would be grammatical, but it somewhat alters the feeling of the sentence. "Do any of you know?" might be a better option.

Anyone is singular, so we shoulg use use does. "Of you" is not necessary, but it's not a mistake. Saying: "Does anyone know?" is more common. Everybody, somebody, nobody are singular too

Oh, it is regard to he, she and it, not to singualr I and you. You never say - Doas I know you?, You always say - Do I know you?

Its both correct but it depends, Do and Does are both verbs from the verb to do. Do is used for the first person singular & plural I Do, we do, and the second person singular & second person plural you do, you guys do. Now the third person singular would be he/she does, different from the third person plural which is they do. example: I do my homework everyday, we do our homework everyday, you do

"Its both correct but it depends", hmmm... Only the "does" exapmle is correct, the second one is not, because, as you said, we use does with the third person singular, and anyone is the third person singular. Thats why we can say "do anyone"

In English we can sometimes meet with situation, where someone say "she/he/it do", especially in songs. Sting sings: "she don't want to meet my folks

I know, I know I'm sure you understand it very well, but the sentence "Its both correct but it depends" means that actually you can