Unfortunately, many of the ships in the reserve have found their eternal rest. Except how to cut for scrap, nothing else for them is to be expected. On the other hand, modernization work began on a number of ships.
As far as I can tell, the list is far from complete, please add the missing ships with photos in the comments.

TARKR "Admiral Lazarev" of the project 1144 "Orlan". Since the mid 90-ies put into reserve. Undergoing a long-term repair. The hope for its modernization after Nakhimov and Petrovich is warming. Included in the Red Banner Pacific fleet

TARKR "Admiral Nakhimov" project 1144.2 "Orlan". Since June, 2013 has been undergoing renovation with deep modernization. Included in the Red Banner Northern Fleet

TARKR "Admiral Ushakov" project 1144 "Orlan". Most likely, will go to recycling. Included in the Red Banner Northern Fleet

RRC "Marshal Ustinov" project 1164 "Atlant". Since July, 2011 has undergone repairs with partial upgrades. Included in the Red Banner Northern Fleet

EM "Fearless" project 956 "Sarych". Since 2003, the year is on long-term repair. Included in the Red Banner Pacific Fleet

EM "Stormy" project 956 "Sarych." Since 2005, a long repair is taking place. Included in the Red Banner Pacific Fleet

EM "Restless" project 956 "Sarych." From the middle of the 2000-ies is in reserve. Included in the twice-red flag of the Baltic fleet

BOD "Admiral Kharlamov" project 1155 "Frigate". Since 2004, the year has been placed in the reserve category 2. Included in the Red Banner Northern Fleet

BOD "Kerch" project 1134B "Berkut-B". On repair since June 2014 g. After a fire, the question of the disposal of the ship. Included in the Red Banner Black Sea Fleet

TFR "Inquiring" project 1135M "Petrel". On repair. Included in the Red Banner Black Sea Fleet

TFR "Fearless" project 11540 "Hawk". The 24.1.2014 is on dock repair. Included in the twice-red flag of the Baltic fleet

TFR "Sharp-witted" project 01090. On repair since October 2014. Included in the Red Banner Black Sea Fleet

BDK "Orsk" project 1171. Since 2004, is in reserve. In the year 2014 began to undergo a long repair. Included in the Red Banner Black Sea Fleet

BDK "Caesar Kunikov" project 775 / II. On repairs and upgrades since July 2013. Included in the Red Banner Black Sea Fleet

BDK "Konstantin Olshansky" project 775 / II. Captured from Ukraine. It is in reserve. Included in the Red Banner Black Sea Fleet

The average reconnaissance ship "Tavria" of the 865 project. Brought to the reserve. Included in the Red Banner Northern Fleet

RCA "Stupinets" project 12411T. Since 2008, the year is on long-term repair. Included in the Red Banner Caspian Flotilla

MPK "Vladimirets" project 1145.1. At the beginning of the 2000-s put into reserve. Included in the Red Banner Black Sea Fleet

MPK "Eisk" project 1124M "Albatross". On repair. Included in the Red Banner Black Sea Fleet

MPK "Aleksin" project 1331M. On repair.
A corruption scandal erupted around the ship - in 2010, repair work was carried out on the ship, 2,3 million rubles were stolen. The culprit of the theft, the temporary commander of the ship, was arrested. The ship is part of the Baltic Fleet's Twice Red Banner

The average reconnaissance ship "Karelia" of the 865 project. Brought to the reserve. Repair takes place. Included in the Red Banner Pacific Fleet

Inhabited rescue deep-water apparatuses АС-26 and АС-36 of the 1855 "Prize" project. On repair. Included in the twice-red flag of the Baltic fleet

БТЩ "Lieutenant Ilyin" project 1265. Since 2009, is in reserve. Included in the Red Banner Black Sea Fleet

TRPKSN "Arkhangelsk" project 941. With 2005 year withdrawn. Included in the Red Banner Northern Fleet

TRPKSN "Severstal" project 941. With 2005 year withdrawn. Included in the Red Banner Northern Fleet

TRPKSN "Ekaterinburg" project 667BDRM "Dolphin". Ends repair. Preparing for the test. Included in the Red Banner Northern Fleet

TRPKSN K-44 "Ryazan" project 667BDR "Kalmar". On repairs and upgrades from 2011 year. Included in the Red Banner Pacific Fleet

PLATE B-239 "Karp" project 945 "Barracuda". On a long repair. Included in the Red Banner Northern Fleet

The nuclear submarine SN "Moscow region" project 09787. Since 1999 year undergoing modernization. Included in the Red Banner Northern Fleet

APKR "Chelyabinsk" project 949A. With 2010 year withdrawn. Included in the Red Banner Pacific Fleet

APKR "Irkutsk" project 949A. With 2013 undergoing repairs and upgrades. Included in the Red Banner Pacific Fleet

Red Banner Submarine "Leopard" project 971. Since June, 2011 has been undergoing repairs and upgrades. Included in the Red Banner Northern Fleet

Submarine "Kashalot" project 971. Since 2003, repairs are under way with upgrades at ACH. Included in the Red Banner Pacific Fleet

Submarine "Karp" project 945. Since 2013 year undergoing repairs and upgrades. Included in the Red Banner Northern Fleet

DEPL "St. Nicholas the Wonderworker" project 877. Derived to the reserve. Included in the Red Banner Pacific Fleet

Diesel submarines "Vologda" project 877. Is on long repair. Included in the Red Banner Northern Fleet

ДЭПЛ "Б-187" project 877. Since 2003, it has been undergoing repairs and upgrades at the AARS. Included in the Red Banner Pacific Fleet

Diesel submarines "Vladikavkaz" project 877. Since 2011, is under repair and modernization. Included in the Red Banner Northern Fleet

Diesel submarines "Alrosa" project 877. Since 2014, is under repair and modernization. Included in the Red Banner Black Sea Fleet

ДЭПЛ "Б-380" project 641Б. Since 2000, is under repair. Included in the Red Banner Black Sea Fleet

Sea transport of weapons "General Ryabikov" project 323В. With 2011 year withdrawn. Included in the Red Banner Black Sea Fleet

Hospital ship "Yenisei" project 320. From the middle of the 90-s put into reserve. Included in the Red Banner Black Sea Fleet

Ship degaussing "CP-137" project 130. In the middle of the 2000-s bred in reserve. Included in the Red Banner Black Sea Fleet

Hydrographic vessel "Stvor" project 862. At the beginning of the 2000-s bred in reserve. Included in the Red Banner Black Sea Fleet

Ship degaussing "CP-939" project 130. In the middle of the 2000-s bred in reserve. Included in the Red Banner Black Sea Fleet

Ship degaussing "CP-26" project 17994. At the beginning of the 2000-s bred in reserve. Included in the Red Banner Black Sea Fleet
And also on repair of various degrees: PLAT B-138 “Obninsk”, B-448 “Tambov” of the project 671РТМК “Schuka”, PLAT K-461 “Volk”, K-157 “Vepr”, K-419 “Kuzbass”, K -295 Samara of the 971 Shchuka-B project, K-266 Oryol SSARK, Oryol K-150 Tomsk of the Antey 949A project, АПЛСН АС-23, АС-13, АС-15.