I am trying to find out if there are any websites which has russian movies for downloading or streaming?

I'd love to hear about that too. But... I prefer only downloads. I hate streaming.

Is there a russian version of Limewire? (hey, it could happen)

Type "скачать фильм бесплатно" or "скачать кино бесплатно" into google. There's a ton of sites. You can also search to find a specific movie, and then just type the name of the film into google and add "скачать бесплатно." Some sites require a program like eMule (the ones with the download links being ed2k:// or something similar, I've never gotten them to work on a mac), but a lot you can downoad straight from the site as .rar archives. So you download the movie in parts and then splice them together using an app. I use RAR expander for mac, don't know what people use in windows but they're very common little programs.

One cavaet is that these sites are all in Russian and the films lack subtitles, so if you don't speak Russian there's really no options on the internet unless you want to pay for netflix. It's really hard to find subtitled Russian movies, unless it's a Tarkovsky movie or something. Almost all DVDs that you can buy in the US will have subtitles though.

Another cavaet is that these sites are full of porn ads.

You can also try rutube.ru for streaming.

Try:
http://www.stepashka.com/

My wife's favorite is Corbina TV. It's free streaming Russian language movies and serials. Here is the site, but I don't know what she does to get it to work. She did have to register. They have advertisements just like American TV and that is likely why it is free.

http://www.corbina.tv/

www.russianremote.com

this has A LOT of russian movies. they are free but all are streamed.

My stepson has been successful on QuickSilverscreen.com finding movies in various languages including Russian.

torrents.ru