Which is correct, "you and me" or "you and I"?

Both are correct. The issue here is where you use it in a sentence.

The general rule of thumb is to use "you and I" when it is the subject, and "you and me" when it is the object in a sentence, e.g. "You and I will go to the cinema" and "She will come to the cinema with you and me." 

However, since most children these days are not being taught gramatically correct English, this rule has been overlooked and "you and me" is being used (incorrectly) in all situations.

I agree with Christo's excellent answer.

The answer of this is "You and me" is the correct

The correct is to say you and me.....

I agree with Mr Christo's answer. Thanks for the invitation. .

you and I .....................

Both are correct in fact and You and I was the first true correct variant when later it was replaced with more feasible You and me 

You and I is the correct way. Though many say you and me. Though you might get corrected by an English teacher for saying you and me.