In many registers of spoken English, it has become acceptable usage to say “me and you did this,” etc, that is, using “me,” typically the accusative or dative form of “I,” in the nominative, though only when there is more than one subject. It is rarely said “me did this,” because these rules tend to make themselves, so that “me” can only occur in the nominative case when there’s more than one subject.
A not-so-fun consequence of changes in the rules of language is that many people tend to assume that the world is falling to pieces because people don’t talk like them any more, etc. The nominative me, I think, has had one of the roughest treatments in this regard. Alongside the general misunderstanding that language stays the same throughout eternity and should not be meddled with, is the more specific misunderstanding in this case that says that the nominative me is not only a novum (though I would mention “methinks,” which originated as a dative — “it seems to me” — and later acted something like a nominative attached to a verb), but that it is ruled out simply because it only makes sense with multiple subjects. That is, as I said above, it is much less common across the different Englishes to say “me did this.” Therefore, the critics say, neither is “me and you did this” acceptable.
While I don’t think the second objection needs to be addressed at all–I differ from the critics in that language rules are set by usage, not fiat–for the sake of dialogue, I would point to another accepted use of the accusative-dative for the nominative in English that is policed not nearly as much, usually only in formal writing, if that. That is in the context of a comparison, using words like “than” or “like.” For example, it now accepted widespread to say “he cooks toast better than me,” as opposed to “he cooks toast better than I” (though that still crops up, but might sound forced in certain registers). Even better, “nobody cooks toast as well as us,” I am guessing, is preferred almost 100% of the time to “nobody cooks toast as well as we,” which is actually “correct” if these critics were consistent, because people rarely say “us cook toast” in place of “we cook toast.” This last point might be further argued that it is better to say “nobody cooks toast as well as we do.” But, I hope that by this point you’ve seen the unnecessity of it all.
I could further point to “whom,” our dative-accusative for “who,” which is on its way out, and words that have already long gone, for example, dative and accusative forms of personal names and other nouns (we still have the genitive, usually indicated with the ‘s). There is no need to create an arbitrary rule (the nominative me could only be used as such if it could form a singular subject as well as one of multiple subject). And unless you are following a specific style guide that requires adherence to particular rules for the sake of clarity, etc (and which should be updated at least annually to account for changes in formal registers, and also which are to be contested), there’s no need to complain.