Contemporary Russian philosophy isn't much different in style from what's happening in the West. There's analytic philosophy (Vadim Vasilyev), phenomenology (Vitaly Kurennoy), philosophical anthropology (Valery Podoroga) epistemology (V. Lektorsky), public commentary/philosophical journalism (Kirill Martynov, Dmitry Galkovsky), philosophy of culture (Boris Groys, Oleg Aronson, Alexander Sekatsky), philosophy of cinema (Alexander Pavlov). There's also the state-endorsed Heideggerian nationalism of Alexander Dugin.
Only two of these (Sekatsky and Galkovsky) are "literary" in any way. (This is just a quick draft answer, I might write something substantial later).