On NPR, Ursula K. Le Guin recommends Doctor Zhivago by Boris Pasternak. I second that, as if she (or, for that matter, the Nobel committee) needed a second.
I know that Richard Pevear and Larissa Volokhonsky are responsible for a number of recent acclaimed English translations of classic Russian novels, but have there been more recent English translations of Zhivago than the 1958 edition that so many millions of us are familiar with?
And yes, I'm fond of the David Lean movie, too. As a friend pointed out when we saw it on the big screen in Chapel Hill, N.C. (during the 25th anniversary re-release in 1990): If you must look at 40-foot-high close-ups of an actor and actress, you could do a lot worse than Omar Sharif and Julie Christie circa 1965.