I second the vote for Clapton's Layla and Other Love songs but recommend The Layla Sessions: 20th Aniversary Editon Box Set (Sept 1990). It's the remastered original disc by the original producer Tom Dowd, along with two more discs of studio jams, alternate takes of the Clapton and the band with various members of the Allman Brothers Band sitting in. See Amazon.com's information about this release. If Clapton never made another record after Layla, his place in rock guitar playing was cemented by this collection. The box set chronicles Clapton's working of the music to express his pain over loving his best friend's wife. The bonus discs documents how the final Layla songs were achieved through glimpses via the jam sessions and shifting musical approaches.
Davis' Kind of Blue is truly a jazz classic but might be "too experimental" for a beginner. If you're more a traditionalist, you might enjoy Cookin' (contains the lovely ballad My Funny Valentine) or Steamin' or Relaxin', the trio of 1955-6 releases on Prestige Records.
Enjoy.