There is no "me either" but we use "me neither" a lot. For negatives it's "me neither" and for positives it's "me too". When it's no for both we use "either" and "neither". I don't either = neither do I. Neither can I = I can't either. Me neither! When it's yes for both we use "so" and "too". I can too = so can I. I will too = so will I. Although informal and not always entirely correct, "me too" and "me neither" are very commonly used, they are popular and everybody understands them.