You could get a nazbol Russia or a Russia ruled according to a similar ideology if the '90s are worse than OTL.
1) If a non-communist Russian government (Yeltsin as in OTL) is forced to concede defeat in Chechnya and recognize a Caucasus Emirate, it would embolden other separatists and lead to a nationalist backlash against the rulers.
2) Privatization is somehow worse than OTL.
3) The communists manage to win the elections in '96, followed by an attempted coup where Zyuganov is killed, but nationalists combine with pro-communist elements in the military against any remaining pro-Yeltsin forces.
4) I'm guessing the new government would begin renationalizing the economy or at least expropriating the oligarchs' wealth while releasing pan-Germanism type rhetoric about a state that includes all ethnic Russians and restoring the motherlands's "rightful" borders. (Note: this map shows demographics from 1994)
5) If you really want to make this scenario dystopian, you could bring elements of Russia's
bioweapons program into play. This could be separatist releasing a bioweapon in St Petersburg or Moscow in a Aum Shinrikyo style attack or as a tool used by the Russian government to "Russify" areas of the Baltics, Eastern Ukraine, the Caucasus, or Central Asia. OTL, an
air filter leak in Yekatinburg resulted in about 100 anthrax deaths.
6) Depending on the timing, things could get interesting in central and eastern Europe. This could seriously change or prevent the 1994 Budapest Memorandum in which Belarus, Ukraine and Kazakhstan agreed to give up their nuclear weapons in exchange for a guarantee of their frontiers. The pre-Nazbol government may flee to Kalinigrad oblast or the far east in a Taiwan-style situation.