I speak a bit of Russian, since you've got the MiG prefix under control, here's what a few of the other prefixes look like in Cyrilic:
Sukhoi aircraft have their type number preceded by "CY"
Antonov is "AH"
Yakovlev is a backward R and a K
Tupolev is "TY"
Thats the common ones, so if you see them on a boxtop you'll know what they are.