There are several state circuses in Ukraine - in Kyiv, Lviv, Kharkiv, Donetsk, Dnipropetrovsk, and Odessa. But from my point of view the best one is the private Kobzov circus. The owner of the circus Mykola Kobzov is a real fan of this kind of art. Every year he brings to Ukraine famous international troupes. In 2011, we visited the international circus festival and I think it was the best performance in Ukraine for the last 20 years.
The pictures below show the performance of the Chinese circus that was brought by Kobzov as well.
Getting there: The circus changes its location every year.