First of all, check out http://mises.org.ua for Ukrainian and Russian language works, analysis and current events commentary.

Here are some classics in Russian:

Mises

Human Action
http://financepro.ru/economy/7567-ljudvig-fon-mizes.-chelovecheskaja-dejatelnost.html
http://libertynews.ru/node/410

Socialism
http://www.libertarium.ru/l_lib_socialism0

Bureaucracy
http://libertarium.ru/l_lib_buero

Rothbard

Ethics Of Liberty
http://libertynews.ru/node/142

For A New Liberty
http://libertynews.ru/node/1338

Power And Market
http://libertynews.ru/node/830

What Has Government Done to Our Money
http://libertynews.ru/node/768

Huearta De Soto

Деньги, банковский кредит и экономические циклы
http://www.jesushuertadesoto.com/madre2.htm (click “articles and books in Russian” on the left panel, and after that “money”) there are also other books by Huerta De Soto

Publishing house translating Austrian Economic books
http://www.sotsium.ru/?link=CATALOG&edition_id=8
http://www.sotsium.ru/?link=CATALOG&edition_id=13