LIST visa-free countries for the Russians in 2013:

(Or perhaps clearance at the border)

Abkhazia (Russian passport)
Azerbaijan (3 mo.)
Albania (from May 25 to September 25)
Armenia
Bosnia and Herzegovina (up to 3 months with an invitation or a voucher is possible visa-free entry under the condition of transit)
Belarus (Russian passport)
United Kingdom (possible visa-free entry for transit through the airport up to 24 hours)
Georgia
Macedonia (entry without a visa)
Moldova (3 mo.)
Serbia (up to 3 months)
Turkey
Ukraine (Russian passport)
Croatia (with an invitation or vouchers, the summer free entry)
Montenegro (up to 30 days)
Bangladesh (15 days)
Bahrain (up to 14 days)
Vietnam (15 days)
Hong Kong (up to 14 days)
Israel (3 months.)
Indonesia (30 days)
Jordan
Iraq (10 days at the entrance of Turkey)
Iran (14 days)
Yemen (3 mo.)
Kazakhstan (Russian passport)
Cambodia (30 days)
Qatar (14 days)
Kyrgyzstan (Russian passport)
Laos (15 days)
Lebanon (3 months.)
Macau (30 days)
Malaysia (1 month.)
Maldives (1 month)
Nepal (3 mo.)
Oman (21 days)
Singapore (up to 96 hours, provided transit)
Syria
Tajikistan (internal passports)
Thailand (up to 1 month)
Uzbekistan (internal passports)
Philippines (21 days)
Burkina Faso
Botswana
Burundi
Djibouti
Egypt (30 days)
Zambia
Zimbabwe
Cape Verde (1 month.)
Cameroon
Kenya (1 month.)
Comoros
Lesotho (1 day)
Mauritius
Madagascar (90 days)
Morocco (3 mo.)
Mozambique
Namibia (3 mo.)
Seychelles (1 month.)
Swaziland (1 month.)
Tanzania (1 month)
Togo (7 days)
Tunisia (30 days)
Uganda (1 month.)
Ethiopia (1 month.)
Antigua and Barbuda (1 month.)
Argentina
Bahamas (3 mo.)
Barbados (28 days)
Bolivia (1 month.)
Brazil (3 mo.)
Venezuela (3 mo.)
Haiti (3 mo.)
Guyana (3 mo.)
Honduras (3 mo.)
Grenada (3 mo.)
Guatemala (3 mo.)
Dominica (21 days)
Dominican Republic (1 month.)
Colombia (30 days)
Cuba (1 month.)
Nicaragua
Paraguay (visa-free zone in the region of the Iguassu Falls, a city of Ciudad del Este)
Peru (3 mo.)
Salvador (3 mo.)
St. Vintsent and the Grenadines (20 days)
Saint Lucia (6 weeks)
Turks and Caicos Islands (1 month.)
Uruguay (27 December 2011)
Chile (3 mo.)
Ecuador (3 mo.)
Jamaica (1 month.)
Vanuatu (up to 1 month)
Cook Islands (1 month.)
Micronesia (1 month.)
Niue (1 month.)
Western Samoa (2 months.)
Northern Mariana Islands (45 days)
Fiji (4 mo.)
Palau (1 month.)
Tonga (1 month.)
Tuvalu (1 month.)