He plays some Peter Green's Fleetwood Mac in the other clip. Try looking for that, expecially Then Play On
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The style was nothing particular but if you want tone like that look at Allman Brothers, Fleetwood Mac with Peter Green, and some Led Zeppelin. Maybe you would even like Gary Moore (I think thats how he spells it). If you post some more vids I could narrow it down more.

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Jimmie Vaughan is something like that.
"There's Jimmy Page, one of the biggest thieves of American black music to ever walk the Earth."
You'll like Peter Green and Danny Kirwan's playing style. Gary Moore's slower blues also shares a similar styleI can't believe no-one's mentioned BB King as well.
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The Jeff Beck Group off of "Truth" Listen to Rock My Plimsoul.