I/Me function in brackets.

In that case, "you and me" would also be incorrect.
The phrase "Social players" is the subject of the sentence, so whatever pronoun used would have to be in the nominative case, not the objective- I not me, we not us.

I don't know why "even me" would mean the same as "you and me", but even if it did, it would be irrelevant because "you and I" would be the correct usage here. I agree with Helena; I not me.

I third that opinion.

How can there be any argument, to this question!?
It's very simple to know where 'I' and 'Me' should be used. All you do, is complete the sentence, thus;
"Social players would be interested to know people's birthdays, and so would I!"

'Social players (and even me) would?'
Is this a joke?

Another alternative would be to replace the incorrect "and even me" with "myself included." The only problem is that it would create the impression that the speaker is one of the "social players" (which may or may not be true).

"Social players" or any other substitute for these words will always be the subject of this sentence -- no matter what. The subject is in the nominative form, so if we replace "social players" with the nominative form of "me," we use "I." "I would be interested to know people's birthdays."

In response to Joe's suggestion, "myself" is a reflexive pronoun as in "I like myself." I was taught that it should never be used as a subject of a verb.