This drives me mad as well! I was taught that if the pronoun stand on its own in the sentence then that’s the one to use. Thus : My sister and I went for a walk I went for a walk. We wouldn’t say ‘Me went for a walk’
Virtually every day, we read or hear "me and my husband/sister/friend etc", even on the BBC [well, that's not really surprising is it], but shouldn't the grammatically correct way be "My husband/sister/friend and I"? Or does the phrase "my husband and I" have other connotations?