It's kind of ignorance when people mention names in this category and they've only heard famous bands or artists playing. A few years ago, Mark Knopfler (my second place of all time greatest guitar players) received an award for being the best guitar player in the world. On stage when he was giving his gratitude speech he said he didn't consider himself as the best guitar player in the world because there was a guy in Norway called Øystein Sunde ( first place on my list) that was better than him. Eric Clapton (third place on my list) played with Mr. Sunde on a concert in Norway and was amazed by his skills. The last person I will mention is the late Marius Muller (4 place on my list) He was the reason why I started listening to my own country's guitar players instead of finding them other places in the world.