T-Bone Walker was accomplished and sophisticated - you can clearly hear the jazz influence in his playing. B.B. King has long cited him as a primary influence, and he was quite astonished at Walker's habit of holding the body of his guitar outward as he played it. Other players from the "Walker school" were Gatemouth Brown, Pee Wee Crayton, Goree Carter, Pete Mayes, and many more.
Perhaps his most famous tune is Stormy Monday, which was a huge hit and many players still record it.