Now that you've touched this topic, I'll invade this thread just like I usually do when someone mentions "russia" and "anime" in the same post.
Most of the arguments are already said and are indeed right: anime in Russia is pretty much impossible. It's bad enough that parents buy ecchi anime for their children (they just don't know better) and then sue the shops because apparently cartoons can only be all-ages and it's not their, the parents, fault for not being aware of anime. Yes, except for incomprehensible art-house stuff cartoons here are kid-only, period. Nobody expects them to be anything else. Anime is frowned upon by absolutely everyone other than small groups of fans. To be honest, murrican stuff gets the same treatment usually, but people are slightly more tolerable towards that since all of our shows are rip-offs anyway.
What we have actually done that can be considered as "what could russian anime be like":
Polygon, the cartoon mentioned in this thread. One of my favorite cartoons altogether. The animation was especially great, it was made using some two-layer celluloid and glass technique and some layers were shot intentionally out of focus or something. Pretty much the only example of that kind of thing to ever exist.
Modern stuff includes some comedy movies about heroes of old russian mythos (bogatyri), they were dumb, but pretty damn hilarious, some stuff looked anime-inspired.
Then there's Knyaz Vladimir, it was ripping off Disney movies more than anime but it's still the only example of high budget cartoon made in modern Russia. The story had a number of plot holes, but the animation and the music were really good (compared to other local stuff, of course, it's no Hollywood). This is the closest to what russian anime would look like.
http://www.youtube.com/watch?v=052wXGEcYAA - sorry for shit quality, youtube deletes everything, but full version is in the related videos anyway.