Global Security provides some good info on the Kirov class which appears knowledgible. According to this page there were five that commenced construction. One was never completed, two are reported as written off. One is in repair and one is operational.
http://www.globalsecurity.org/military/world/russia/1144.htm
Admiral Ushakov (ex-Kirov)
At the end of 1997 only the
Admiral Nakhimov remained operational. (Peter the Great commisioned in 1998 as noted below)
The
Admiral Ushakov, which had been inoperable since 1989-1990, was stricken in October 1998 to provide material for a refit of the other active unit of the Kirov class, the Admiral Nakhimov. However, on 14 January 1999 the Russian Duma voted the
Admiral Ushakov be repaired and restored to service, using funding allocated for other construction and repair projects. In September 1999 the Russian Northern Fleet's Admiral Ushakov cruiser was sent from Severomorsk to Severodvinsk to undergo modernisation. The ship's nuclear powerplant will be replaced. Besides, the cruiser wil be armed with the latest weapons and fitted with most advanced navigation equipment. The money for the upgrade was provided by the Russian regions. As of 1999, over 10 million roubles have already been allocated of the total of 100 million roubles needed for the Admiral Ushakov upgrade.
The Admiral Ushakov was reportedly written off in 2001.
In October 2003 it was reported that Zvezdochka shipyard’s Director Nikolai Kalistratov stated that Norway will allocate $40m for dismantling the atomic cruiser Admiral Ushakov. $12 million more will be required to upgrade the place where the used nuclear fuel is spent.
Admiral Lazarev (ex-Frunze)
At the end of 1997 the
Admiral Lazarev was said to be slated for disposal because of insufficient funding for needed repairs.
Admiral Nakhimov (ex-Kalinin)
In April 2001 Russia Navy Commander-in-Chief, Adm Vladimir Kuroyedov stated that the Kirov-class battle cruiser
Admiral Nakhimov, which had been laid up since 1999 at Severodvinsk, will be re-commissioned by the Russian Navy.
As of early 2004 the Admiral Nakhimov was undergoing repairs at Sevmash. Its overhaul is due to be completed in 2007.
Petr Velikiy
The much-delayed
Petr Velikiy, which arrived in the Northern Fleet in November 1996 for acceptance trials, was finally commissioned on 18 April 1998, but in the Northern Fleet rather than in the originally planned Pacific Fleet. However, she was subsequently laid up at Severomorsk awaiting completion and repairs. On 23 March 2004 Russia's navy chief reportedly said that the nuclear-powered Peter the Great missile cruiser, was in such dire condition that it could "explode at any moment" - only to backtrack on his statement a few hours later. Admiral Vladimir Kuroyedov said the massive cruiser had been badly maintained and could "explode any moment", adding that "it's especially dangerous because it has a nuclear reactor". Just three hours later, however, Kuroyedov retracted his ominous statement, saying he had been misunderstood by the media. "There is no threat whatsoever to the ship's nuclear safety," he said in a statement. "The ship's nuclear safety is fully guaranteed in line with existing norms." He added that some flaws in maintaining the cruiser's living quarters would be fixed within three weeks, after which the ship would become fully combat-ready.
The Petr Veliki cruiser docked for repair at Roslyakovo starting on 19 April 2004. The ship repairers will clean and paint the submarine part of the ship, repair the armature and examine the steering system. The floating dock PD-50, where the Admiral Kuznetsov had been repaired, was prepared for the flagship of the navy. As of July 2004 the flagship of the Northern Fleet, the Pyotr Veliky, heavy nuclear guided-missile cruiser, also fresh from repair, was carrying out missions so as to be in what is called "first-line" readiness in the second half of August 2004.
Kuznetzov
Budget cuts at the end of the Cold War led to discontinuing the construction of a fifth unit of the Kirov class.