It's gotta be the Saxophone Colossus, Sonny Rollins, but I'm conflicted about it. On any given day, every single one of the saxists listed might command top honors—Coltrane for breadth and intensity, Hawkins for consistency, Shorter for ingenuity, Getz because his sound is so sublime and accessible (like his greatest influence Lester Young's was). And then there's the folks not mentioned:
Dexter Gordon
Lucky Thompson
John Gilmore
Gene Ammons
David Murray
George Adams
Clifford Jordan
Another great tenor, Johnny Griffin, once said that as he got older, he'd be soloing and suddenly remember something—an augmented chord, harmonic resolution or whatever—that he'd completely forgotten about, though he'd obviously internalized it somewhere in the deep reservoir of a 50-plus year professional career. "I'm sure that happens to all of us," Griffin said, then added a joke. "And poor Sonny Rollins; he's probably forgotten more music than the rest of us ever knew." For anyone who cares, that's Rollins blowing on the Rolling Stones song, "Waiting On A Friend."