What are the best tools (apps, learning programs, games) for Russians learning English vocabulary and pronunciation?

If he is already in an English-speaking country, I would say watch TV, especially news programs or PBS. That’s because in these programs people enunciate better, generally speak more slowly, use less slang, inside jokes, etc. Also, watch movies, but that is more difficult unless he can get movies subtitled in Russian to aid his understanding.
Online, he can try Linq or LiveMocha or Khan Academy. Do a Google search and go to their websites.
There’s software called Rosetta Stone, but this can get expensive.
He can go to the public library and likely will be able to borrow discs and booklets published by Pimsleur.

Pimsleur is awesome, I know. I just wasn’t sure whether it’s mostly awesome for English people who want to learn other languages or vice versa.

I’m pretty sure Pimsleur has an English-learning module. I thought I saw one at my local library in the past.

This is hard to answer because the learning program should match his fluency level. He can watch all the news programs he wants, but that won’t help him with conversation.
Examples: For the beginner: Sesame Street. Intermediate: Two and a half men. For the expert: 60 minutes or CSpan.