Ok, alphabetically:

1. Belarus: European Bison, White Stork;
2. Bulgaria: Lion;
3. Croatia: Marten;
4. Czech Republic: Lion;
5. Macedonia: Lion, Ohrid Trout;
6. Montenegro: Lion, Peacock, Salamander;
7. Poland: Bielik Eagle (White-tailed Eagle), White Stork, European Bison;
8. Russia: Siberian Cat, Russian Bear;
9. Serbia: Lanner Falcon, Šarplaninec, Lynx;

I'm not sure in 100% about it, it is from wikipedia.
There is also a "Moravian Eagle" in Moravia, though it is not a country.

The story with Russian Bear is here.