In my opinion, The Who are the greatest rock band to ever grace the Earth. The only group I think can compete with them is Pink Floyd. It is a historical fact that Keith Moon and John Entwistle revolutionized their respective instruments' approaches: John Bonham, for example, cited Keith Moon as one of his drumming influences. Townshend also changed the way the guitar is played: watching him perform is a spectacle, and certainly his aggressive approach to the instrument was something never seen before, which would later be emulated by countless other guitarists, albeit in different ways. Roger Daltrey was "just" an amazing performer, but he really came into his own later on, let's say from Tommy onwards. He remains, in my opinion, the perfect voice of rock. This genetically, and it seems impossible to deny such evidence in any way.
1) LIVE: The Who are the greatest live band in the history of rock. Townshend, Daltrey, and Moon had the ability to engage the audience like few others, and the art of destroying instruments is just one of their many spectacular tricks. And then there's the quality of the performance itself: stunning harmonies and vocal arrangements that rival those of the Beatles, who, however, did not perform live, delivered flawlessly. To get an idea of all this, I recommend watching "A quick one" on YouTube, particularly the performance at the Rock 'n Roll Circus. There, anyone can get a sense of The Who's incredible live energy.
2) DISCOGRAPHY: Perhaps only Pink Floyd has a discography of such high caliber. "A quick one" is the first example of a mini rock-opera: we’re in 1966. "Tommy" is the first complete rock opera, with all pieces interconnected, recurring themes, and everything that characterizes this genre. Not only did they create the first complete rock opera, but they even followed it up with an even more majestic work like "Quadrophenia," in which lyrics, music, and performances from individual members all reach the top. Not to mention: "Who's Next" is the album containing Behind Blue Eyes and Baba O' Riley, for context. Finally, "The Who By Numbers" is a record of rare beauty and refinement.
3) INFLUENCE EXERTED: Incommensurable. They are among the most covered bands of all time (the Pearl Jam know a thing or two about that). Having made this very personal analysis, it is clear that everyone has their own tastes. ;-)