Named after Judy Elkins, a VFX coordinator on Star Trek: Deep Space Nine. Name and NCC from studio model. Side-view of the Elkins.

Named after Swiss physicist Robert Emden (1862-1940). According to Bjo Trimble's Concordance, the Emden appeared on a computer display. Judging by the registry number, the ship could be a Miranda-class vessel.

Name from a computer display. The ship is most likely not named Emidazu but that's my best guess.

The ST Encyclopedia speculates that the Endeavour is a Constitution-class vessel with the registry NCC-1895. According to Bjo Trimble's Concordance, the Endeavor appeared on a computer display in Star Trek VI: The Undiscovered Country. Name from script.

Named after British explorer James Cook's flagship, as well as for the NASA space shuttle. Name from dialogue. NCC from a computer display (ST Encyclopedia). The ST Encyclopedia speculates that the Endeavour is a Nebula-class vessel.

Name and NCC from dialogue. According to the Starfleet Technical Manual, the Entente is a Federation-class dreadnought.

Constitution-class/Enterprise-class

Perhaps the most famous spacecraft in the history of space exploration. Launched in 2245, the Enterprise was first commanded by Captain Robert April. TAS The Counter-Clock Incident. Then by Captain Christopher Pike. Star Trek: The Cage. The ship achieved legendary status during the five-year mission commanded by Captain James T. Kirk from 2264 to 2270. TOS. DS9 Trials and Tribble-ations. The original Starship Enterprise was refitted several times during its lifetime, most notably in 2273, when virtually every major system was upgraded, a new bridge module was installed, and the warp-drive nacelles were replaced. Star Trek: The Motion Picture. The ship was destroyed by James Kirk in 2285, just prior to its scheduled retirement, in order to prevent the ship from falling into Klingon hands during a rescue mission to recover the body of Captain Spock. Star Trek III: The Search for Spock.

Named after the American World War II aircraft carrier U.S.S. Enterprise CV-6. The original Enterprise was a Constitution-class vessel. This was mentioned by Picard in TNG The Naked Now and TNG Relics. Moreover there is a computer display in Star Trek III: The Search for Spock with a mention of the ship's class. The refitted Enterprise was an Enterprise-class vessel. This was established on a wall label in Star Trek II: The Wrath of Khan.

Enterprise-class

Launched in 2286 from the San Francisco Fleet Yards, the Enterprise-A was placed under the command of Captain James Kirk by the Federation Council and Starfleet Command in appreciation for Kirk's role in saving planet Earth from the destructive effects of an alien space probe. Star Trek IV: The Voyage Home. Although shakedown tests and system installations under the aegis of Chief Engineer Montgomery Scott had not been completed, the Enterprise-A was rushed into service in early 2287 to intervene in a hostage situation at planet Nimbus III. Star Trek V: The Final Frontier. The ship, under the reluctant command of Captain Kirk, was pressed back into service to escort Klingon Chancellor Gorkon to Earth for a peace conference. Although the scheduled talks were cancelled after the assassination of Gorkon, the Enterprise-A and her crew were instrumental in the success of the historic Khitomer peace conference shortly thereafter. The Enterprise-A was scheduled to be decommissioned shortly after the Khitomer conference. Star Trek VI: The Undiscovered Country.

Although it was established in Star Trek II: The Wrath of Khan that the Constitution-class refit was called Enterprise-class, Star Trek VI: The Undiscovered Country showed us schematics labelled with "CONSTITUTION CLASS STARSHIP". Since "Enterprise-class" was the intention of the ship's designer, Andrew Probert, I'll go with that.

Excelsior-class

The U.S.S. Enterprise-B was launched from a Spacedock orbiting Earth in 2293, with Captain John Harriman in command. Its maiden voyage was planned as a publicity junket consisting of a brief trip out past Pluto. Dignitaries aboard the Enterprise-B for the occasion included Captain James T. Kirk, Captain Montgomery Scott, and Commander Pavel Chekov. During this flight, the Enterprise-B responded to an emergency distress call from two El-Aurian transport ships en route to Earth. The ships were trapped in the nexus energy ribbon and were on the verge of structural collapse. Problems with Enterprise-B equipment prevented the rescue of one El-Aurian ship, but some 47 passengers from the second ship, the S.S. Lakul, were transported to safety just before the Lakul exploded. Among those rescued were scientist Dr. Tolian Soran and future Enterprise-D crew member Guinan. Captain James T. Kirk was missing and believed killed in the incident. Kirk had been making emergency modifications to the Enterprise-B deflector system, permitting the ship to escape the ribbon. It was later learned that Kirk had not been killed, but rather had been swept into the nexus. Star Trek: Generations.

Name from dialogue. NCC from a screenshot. Class visually identified.

Ambassador-class

The Enterprise-C was lost and presumed destroyed near Narendra III in 2344. In that year, this ship, commanded by Captain Rachel Garrett, responded to a distress call from the Klingon outpost on Narendra III. The outpost was under a massive Romulan attack. During the battle, a torpedo explosion opened a temporal rift, and the Enterprise-C was sent some 22 years forward in time. This proved to be a focal point in history. With the Enterprise-C gone from the "normal" timeline, an alternate timeline was formed, in which the Federation and the Klingon Empire engaged in an extended war. The Federation was near defeat by 2366, when the Enterprise-C emerged from the rift, encountering the Enterprise-D. It was soon realized that the Enterprise-C had to return to its proper time if history was to be restored and the terrible war with the Klingons was to be averted. The tragedy of the war was emphasized when a Klingon attack resulted in the death of Captain Garrett, after which Enterprise-C officer Lieutenant JG Richard Castillo agreed to assume command of the ship and return it to 2344. Enterprise-D officer Natasha Yar, who was still alive in this timeline, volunteered to return with Castillo to help defend  Narendra III against the Romulans. All Enterprise-C personnel understood that returning to the past was a virtual suicide mission because of the intensity of the Romulan attack on Narendra III. Once the Enterprise-C returned through the temporal rift, the time flow returned to normal, and history was restored to its proper shape. TNG Yesterday's Enterprise.

Name from dialogue. NCC from studio model (Alexander DeLarge, EAS). Class from computer display (ST:TNG The Continuing Mission, Mark Delgado).

Galaxy-class

The ship was placed under the command of Captain Jean-Luc Picard on a mission of deep-space exploration and diplomacy. The ship was severely damaged in the Borg encounter of early 2367, and had to undergo six weeks of repair work at Earth Station McKinley. The Enterprise-D was briefly commanded by Captain Edward Jellico in early 2369 when Captain Picard was assigned to a covert Starfleet mission on planet Celtris III. In the anti-time future created by Q, the Enterprise-D was not destroyed at Veridian III, but remained in service until at least 2395, when Admiral William Riker had saved the ship from being decommissioned, by making it his personal flagship. In this future, the Enterprise-D had undergone significant modifications, including the addition of a third warp nacelle. TNG. The Prokofiev was dispatched to the border of the Federation-Cardassian Demilitarized Zone in 2370, following the arrest of Starfleet officer Miles O'Brien. DS9 Tribunal. The Starship Enterprise-D was destroyed in 2371 during a mission to prevent a deranged scientist from destroying the Veridian system. During the mission, the Enterprise-D took a direct hit from a Klingon Bird-of-Prey, causing the loss of antimatter containment. Cmdr. William Riker ordered an emergency saucer separation, and Cmdr. Deanna Troi was successful in manoeuvring the Saucer Module to a relatively safe distance, just before the ship's stardrive section exploded. The resulting concussion knocked the saucer module out of orbit, but Troi was successful in piloting the vessel to a soft landing on the surface of planet Veridian III. Star Trek: Generations. DS9 Emissary. DS9 Q-Less. DS9 Defiant. DS9 Heart of Stone. DS9 The Way of the Warrior. DS9 Hippocratic Oath. DS9 Crossfire. DS9 Bar Association. DS9 Rules of Engagement. DS9 Sons and Daughters. DS9 Change of Heart. DS9 Image in the Sand.

Name from dialogue. NCC from dedication plaque (The Art of Star Trek). Class from a screenshot.

Sovereign-class

Name and NCC from screenshot. Class from dedication plaque.

Nova-class

According to Mike Okuda, the Equinox was built at Utopia Planitia Fleet Yards and launched on stardate 47007.1. The dedication plaque bore the quote "The night of time far surpasseth the day. - Sir Thomas Browne, 1658". There are rumours that the plaque may have indicated the ship to be a Noble-class vessel. Name and class from dialogue. NCC from CGI model.

Daedalus-class

Name, NCC, and class from dialogue.

Name from script.

Constitution-class

In 2267, the Excalibur was assigned to Altair VI for the inauguration of their new president. TOS Amok Time. The Excalibur, under the command of Captain Harris, was severely damaged and all crew personnel killed in 2268 during a disastrous war-game drill with the M-5 computer. TOS The Ultimate Computer.

Name from dialogue and script. Class visually identified. According to the Starfleet Technical Manual, the Excalibur's registry number is NCC-1705.

Ambassador-class

In 2368, the Excalibur served as part of the tachyon detection grid to blockade Romulan ships supplying the Duras family forces in the Klingon civil war. During this assignment, Cmdr. William Riker served as its captain and Lt. Cmdr. La Forge was his first officer. TNG Redemption, Part 2.

Name from dialogue. NCC from a computer display (ST Encyclopedia). Class visually identified.

Excelsior-class

The Excelsior was built at the San Francisco Fleet Yards and launched on stardate 8205.5. The ship served under the command of Captain Styles as the testbed vehicle for the unsuccessful transwarp drive development project. Star Trek III: The Search for Spock. Star Trek IV: The Voyage Home. Star Trek V: The Final Frontier. Under the command of Captain Hikaru Sulu, the ship began a three-year research mission in 2290, cataloging planetary atmospheric anomalies. Upon successful completion of this mission, Sulu and the Excelsior played a key role in the Khitomer peace conference of 2293. Once the ship was awarded operational status, her registry number was changed to NCC-2000. Star Trek VI:

The Excelsior-class was designed by Bill George. Name from dialogue. NCC from a screenshot. Class from dedication plaque (ST Encyclopedia 3).

Constitution-class

The Exeter was originally called U.S.S. Argentina in an early draft of the script. Name from dialogue. Class visually identified. According to the Starfleet Technical Manual, the Exeter's registry number is NCC-1706.

Name from dialogue. NCC from a computer display (Nemesis, DS9 Companion). The ST Encyclopedia speculates that the Exeter is an Ambassador-class vessel.