There are plenty of good Russian magazines that are both in print and online.
Russia Journal is for those with plenty of class.
The Russia Journal | Fearless Investigative Journalism from Russia and my absolute favorite is
Russian Life.
Russian Life magazine It is awesome!
For those with very low standards and loving the party scene,
Exile is for you. Mark Ames is famous among expats in Russia.
eXile - Moscow-based Alternative Newspaper - Issue #269
Moscow Times is good but filtered.
The Moscow Times - Daily News on Business, Politics and Culture in Russia and the CIS
I hope this gets you started.