Rolling Stones had him listed number 3 all time greatest guitarist.
Listening to what Jimmy Page does on guitar can transport you. As a lead player, he always plays the right thing for the right spot – he's got such remarkable taste. The solo on "Heartbreaker" has such incredible immediacy; he's teetering on the edge of his technique, and it's still a showstopper. But you can't look at just his guitar playing on its own. You have to look at what he did with it in the studio and how he used it in the songs he wrote and produced. Jimmy built this incredible catalog of experience on the Yardbirds and doing session work, so when he did the first Led Zeppelin record, he knew exactly what kind of sounds he wanted to get.
He had this vision of how to transcend the stereotypes of what the guitar can do. If you follow the guitar on "The Song Remains the Same" all the way through, it evolves through so many different changes – louder, quieter, softer, louder again. He was writing the songs, playing them, producing them – I can't think of any other guitar player since Les Paul that can claim that.