MADS is an acronym for MAD Magazine, a satirical magazine that has featured Alfred E. Neuman as its mascot since the 1950s. MAD Magazine is known for its humorous and often irreverent content, and Alfred E. Neuman has become an iconic figure in popular culture. MADS is a fitting solution to the crossword clue 'Magazines with Alfred E. Neuman' as it is the only magazine that has featured him as its mascot.