It's always quite hard to define contemporary, since it dips into so many of the other sub-styles (chicago, electric, delta, country, acoustic, jazz.....), but I'll have a blind stab and probably get it all wrong...
Some of the Taj Mahal stuff (UK Best Of is varied and doesn't represent his more recent stuff)
Keb Mo' has some great laid back stuff
The Blues Band had some great blues (or Rhythm & Blues) albums in the late 70s/early 80s (Bootleg album and Ready)
Take a look at Koko Taylor for some great souful shouting stuff
All the standards (B.B. King, Howlin Wolf, Elmore James, Albert Collins, etc.) are standards for a reason (although I personally don't like John Lee Hooker).
Eric Clapton went through phases of doing great blues stuff.
The early stuff of Big Joe Turner and the likes are all worth a look (some of the earlier stuff - pre 1940s - can be a bit harder to get into)
Stevie Ray Vaughan, if you go for the electric driving stuff
Etta James for that I Just Wanna Make Love To You sound
Ry Cooder for some laid back slide guitar
John Hammond, who is on my list to explore
Duke Robbilard (who is sometimes a bit hit and miss in my book, but there you go)
Robert Cray (who I'm not so fond of myself, but that doesn't matter)
Listen to Radio 2 on a Thursday Evening (Paul Jones, about 8pm?) to see what rocks your room
There's so much more to take a look at that I have no idea about, but there's some good starters there. It wastn't supposed to be that long - sorry, but the beauty of it is that there's enough of it to please everyone. Good luck.