Blue-water navy
The navy's operational duties include the protection of French interests abroad and the security of the nation's many overseas departments and territories, as such the Navy undertakes a number of standing commitments worldwide.

India: The Indian Navy is unique among Asian navies due to its long experience in carrier power projection since 1961. This, according to Dr. George J. Gilboy and political scientist Eric Heginbotham, gives the Indian Navy the "leading power projection capability in the region". The Indian Navy is also the only Asian navy considered to be a rank three "multi-regional power projection navy" per Todd and Lindberg's classification system. In his discussion paper for Consultancy Africa Intelligence, Greg Ryan asserts that in recent years, the Indian Navy has emerged as a "global power in the blue water sense".
India initially outlined its intentions of developing blue-water capabilities under the 2007 Maritime Capabilities Perspective Plan, with the navy's priority being the projection of "power in India's area of strategic interest", the Indian Ocean Region. Since 2007 the navy has increased its presence in the Persian Gulf and the Horn of Africa to the Strait of Malacca, and routinely conducts anti-piracy operations and partnership building with other navies in the region. It also conducts routine two to three month-long deployments in the South and East China seas as well as the western Mediterranean simultaneously. The navy has a listening post in Madagascar.
India inducted its first aircraft carrier in 1961, and the navy has ever since operated two independent carrier task forces. After INS Viraat and INS Vikrant were decommissioned, the country’s strike force currently centers on the two carrier battle groups: INS Vikramaditya, and a new indigenous aircraft carrier, INS Vikrant commissioned in September 2022, restoring India's two-carrier capability. The Indian Navy also possesses an amphibious transport dock, INS Jalashwa, and currently operates 2 Arihant-class indigenously developed nuclear-powered ballistic missile submarine with two more under construction, along with leasing one Akula-class nuclear-powered attack submarine and has many more ships of different types planned or under construction.

Italy: The Italian Navy was categorised as a "regional blue-water navy" in Liu Huaqing's Memoirs (1994), and as a rank three "multi regional power projection navy" by Professors Daniel Todd and Michael Lindberg in 1996. In the former 1989 publication "The Atlantic Alliance and the Middle East", Joseph I. Coffey asserted that Italy's blue-water capabilities didn't extend beyond the Mediterranean sea. Today the navy possesses two aircraft carriers (Cavour and Giuseppe Garibaldi), a third one to be commissioned in 2023, as well as a modern fleet of surface combatants and submarines. 
The Marina Militare routinely deploys to the Indian Ocean and Persian Gulf as part of multinational anti-piracy missions such as Operation Ocean Shield and Operation Atalanta, and is capable of deploying a carrier battle group in support of NATO or EU operations such as during Operation Enduring Freedom (2001) and EU Navfor Med (European migrant crisis). In 2015 scholar Sarah Kirchberger mentioned Italy as a blue-water navy capable of operating in the high seas far from its home. 
As of June 2024 the Italian Navy has deployed a Carrier Strike Group, based on the Cavour (CVH 550) STOVL aircraft carrier (with F-35B onboard), for a five-months deployment to the Indo-Pacific region, reaching Singapore, Australia, Japan and the Philippines. Italian Navy will also participate to the Exercise RIMPAC, the world's largest international maritime warfare exercise. This is an indisputable evidence of the top level capabilities reached by the Italian Navy, which place the same at the level of the Royal Navy.

Russia: The Soviet Navy maintained naval forces able to rival those of the United States; however, following the end of the Cold War and dissolution of the Soviet Union in 1991, the Russian Navy experienced a severe decline due to lack of funding. By the late 1990s, there was little tangible evidence of Russian blue-water capability. It wasn't until 2007, under President Vladimir Putin, that "naval ambition broadened in scope and aimed at re-creating a large blue-water navy". Today, the Russian Navy is considered to be a rank 3 "multi-regional power projection navy" by Todd and Lindberg's classification system. The Russian Navy has also been described as a blue-water navy by British naval historian Professor Geoffrey Till.

United Kingdom: The Royal Navy is considered to be a blue-water navy by naval experts and academics. This position is likely to be further cemented with the introduction of two new Queen Elizabeth-class aircraft carriers, eighteen new frigates (8 Type 26, 5 Type 31, and 5 Type 32), and other warships currently being procured.[A][B] A term used commonly in the United Kingdom is that the Royal Navy maintains a maritime expeditionary capability. According to Todd and Lindberg's classification system, the Royal Navy is a rank two "limited global-reach power projection navy".
The Royal Navy supports a number of standing commitments worldwide on a continuous basis and maintains an expeditionary task force known as the Joint Expeditionary Force (Maritime) (JEF (M)). The Royal Navy Submarine Service operates four Vanguard-class nuclear-powered ballistic missile submarines and seven nuclear-powered Astute and Trafalgar class fleet submarines which operate globally. The Royal Fleet Auxiliary (RFA) maintains a number of ships which support Royal Navy operations globally by resupplying personnel, food, water, armament and fuel to their ships. The RFA also augment the Royal Navy's amphibious landing capabilities by operating the Bay class. The United Kingdom maintains five overseas naval facilities, including a naval support facility, named the British Defence Singapore Support Unit, in Sembawang, Singapore in the Far East.
The U.S. Naval War College identifies the Royal Navy's tasks as fighting wars, conducting distant expeditions, maintaining good order at sea and preventing and deterring conflict. As such, the Navy views the retention of its "world-class" high-end disciplines in anti-air and anti-submarine warfare as strategically important. The Royal Navy has shown many examples of its expeditionary capabilities[C] since World War II, such as the Korean War, the 1982 Falklands War, the 1990–91 Gulf War, Sierra Leone, the War in Afghanistan, the 2003 invasion of Iraq, and during the 2011 military intervention in Libya.

United States: The United States Navy is considered a blue-water navy by experts and academics. It is distinguished from other power projection navies in that it is considered a global blue-water navy, able to operate in the deep waters of every ocean simultaneously. According to Todd and Lindberg's classification system, the United States Navy is a rank one "global-reach power projection navy", and the only navy to occupy this rank.
The USN maintains eleven carrier strike groups (centered on the Nimitz-class aircraft carrier and Gerald R. Ford-class aircraft carriers), of which six are deployed or ready for deployment within 30 days, and two ready for deployment within 90 days under the Fleet Response Plan (FRP). The USN also maintains a continuous deployment of nine expeditionary strike groups that embark a Marine Expeditionary Unit with an Aviation Combat Element on amphibious warfare ships. The US Military Sealift Command is the largest of its kind in the world and is responsible for delivering military transport and ship replenishment around the globe.
The US Navy has shown countless examples of its blue-water combat capabilities and has the ability to project force onto the littoral regions of the world, engage in forward areas during peacetime, and rapidly respond to regional crises. Some examples of such are World War II, the Korean War, the Vietnam War, the Persian Gulf War, the War in Afghanistan and the Iraq War.
The United States Coast Guard, while not technically a navy, is also a blue-water naval force capable of deploying to waters throughout the world.

From green-water to blue-water: Some green-water navies have ambitions towards the development of blue-water capabilities.

While considered to be a green-water navy, the Japan Maritime Self-Defense Force is undergoing transition to develop blue-water capabilities. It began in 1981 when Prime Minister Zenkō Suzuki put forward a new doctrine requiring the JMSDF to expand its operations by 1,000 miles for defense of the nation's sea lines of communication. To respond to the growing blue-water requirements, the JMSDF has been developing impressive capabilities, most notably the creation of destroyer flotillas centered on large helicopter destroyers (such as the Hyūga-class helicopter carrier) and large Aegis-equipped destroyers. The first Japanese post-WWII overseas naval air facility was established next to Djibouti-Ambouli International Airport; it supports a number of Lockheed P-3 Orion maritime patrol aircraft. It was then decided to operate F-35B fighters on board the Izumo-class, a development of the Hyūga-class, and by July 2021 JS Izumo had completed modifications for this purpose, followed by an operational test using the U.S. Marine Corps F-35B in October.
The Republic of Korea Navy also has ambitions to develop blue-water capabilities. In 2001, the South Korean President, Kim Dae-jung, announced plans to build a "Strategic Mobile Fleet".