No longer communist; subsequent to being communistic(adjective)
WordNet. Princeton University. 2010.
Use "post-communist" in a sentence
"Among post-communist countries, those that reformed most rapidly did generally experience a quicker turnaround and smaller drop in official output."
"For example, gay rights and needle exchange programs are controversial in the post-communist region, not to mention in more traditional societies around the world."
"In 1990, as the Albanian revolution against 45 years of communist rule was gaining momentum, a young professor of art named Edi Rama warned that the post-communist government should be free of former communist party members."