Dear john-5! Thank you for reference "Senses of Cinema". This site is very interesting. Of course, all Tarkovsky's films are great. But, as for me, I think "Andrey Rublev", "The Mirror" and "Nostalghia" are supreme masterpieces.
I agree with you, Eisenstein is a great director. I think, he's underrated in the West. But his great contribution to cinematography is amazing. I think, "Battleship Potemkin" is one of the greatest films ever made.
Unfortunately, Hollywood is everywhere even in Russia. There are only two cinemas in Moscow, where we can see masterpieces of Russian and foreign great directors.