It does mean "everybody", but in a negative sense. "He makes me feel like (this), and everybody else doesn't make me feel like this." Or, "he makes me feel like this, and nobody else makes me feel like this". Both of these statements are equivalent to "he makes me feel like nobody else", but more clear and less lyrical than the original! "Not zero" doesn't equal "all", of course. One of a group of ten is not zero, but it is not all.

Nobody/no one else is the opposite of everyone/everybody else. You could rephrase the lyric as "no one makes me feel the way he does" or "nobody makes me feel like way he does" Examples would be "nobody has a fingerprint exactly like yours" "nobody else wants to go, so I am not going either" "you explain things like nobody else I know" I hope this helps, J

Hello! The line "He makes me feel like nobody else" is just a different way of saying that he makes feel better than anyone else makes me feel. Saying that "he makes me feel like nobody else" is just a shortened way of saying it (where the message is implied). I hope this helps!!