As someone mentioned above, depending on genre, Stevie Ray Vaughan's Tommy Shannon a good one. His bassist plays simple enough, solid lines that encompass a lot of the usual little runs, chromatic movements, turnarounds, etc. He has no interest in "showing off", as far as I can tell. You'll notice he'll use near-identical lines in different tunes, and they just work. I'd recommend listening to early Fleetwood Mac as well - McVie is similar to Shannon in that he serves the music very nicely, holds it down, works the "canonical blues bass" nicely. These guys served me very well starting out gigging blues a couple of years ago.
Know your intros/outros...in practice you can get away with knowing a handful of variations...and stay the hell away from the major 7!