The Box Tops
I only know that because I saw a screening of a new documentary out this summer on Big Star. I did know the name Alex Chilton before I ever heard Big Star, though, because he produced the first two Cramps albums (well, EP and album).
Again, another one that is really Rockpile but credited to Lowe because the most widely known version appeared on his "Labour of Lust" LP
[song: Cruel To Be Kind]