It is unconfirmed whether other airlines flying from Russia will follow.
At the moment, Skyscanner does not show any flights from Russia to the most suitable visa-free countries (Turkey, Serbia).
Websites of following airlines show flights to Turkey past 8th of March:
- Air Serbia: https://www.airserbia.com/
- Nordwinds: https://nordwindairlines.ru/ru
- Turkish Airlines: https://www.turkishairlines.com/
It may change though. The most reliable way to check the current situation is at the websites of the airlines (not Skyscanner and other aggregators).