The Apollo class is a starship design from the beginning of the 24th century, according to the known registries.
USS Agamemnon NCC-11638
USS Ajax NCC-11574
USS Clement NCC-12537
USS Gage NCC-11672
Class Specifications:
None avaliable except that it was built as a scout vessel in the 23rd century
The NX number of the Bradbury indicates that it is an experimental ship or a class lead ship. The ship may have been commissioned around 2366.
Known Ships: No image avaliable
USS Bradbury NX-72307
Class Specifications:
N/A
The classification of the USS Centaur is unknown. The ship is mainly a rearrangement of Excelsior-class components and was possibly introduced in the early 24th century. It has a weapons or deflector pod similar to the Miranda (but larger) at the bottom of the saucer between the warp engines.
Known Ships: 
USS Centaur NCC-42043
Class Specifications:
Length: approx. 381m
The Constellation class is a starship type with four warp nacelles that was first commissioned around 2280. Warp nacelles and several components of the saucer section are essentially identical to the Constitution and Miranda classes. Constellation-class ships are outdated. Most of them seem to have been decommissioned prior to 2370.
USS Constellation NCC-1974
USS Gettysburg NCC-3890
USS Hathaway NCC-2593
USS Magellan NCC-3069
USS Stargazer NCC-2893
USS Valkyrie NCC-2590
USS Victory NCC-9754
USS Gihlan NCC-9761
(Name unknown) NCC-7100
Class Specifications:
Length: 310m
Deck count: 15
Crew complement: 535
First commissioned in 2284
The Constitution class was introduced around 2240. At that time the Constitution class was the fastest and most powerful ship type of the fleet and the only one officially designated as a "Starship". 12 ships of this class were in service by the year 2267. Starting with the USS Enterprise in 2271, a number of Constitution-class ships have undergone a complete reconstruction that included new warp nacelles, modification of the engineering hull and "neck", enlargement of the saucer section and a new bridge module. The ships may have been decommissioned at the end of the 23rd century, one of them is displayed in the Starfleet Museum. The top picture shows the original Constitution Class while the bottom shows the refitted ship
Known Ships: 
USS Constitution NCC-1700
USS Constellation NCC-1017
USS Defiant NCC-1764
USS Eagle NCC-956 (refit)
USS Endeavour NCC-1895
USS Enterprise NCC-1701 (refit)
USS Essex NCC-1697
USS Excalibur NCC-1664
USS Exeter NCC-1672
USS Farragut NCC-1647
USS Hood NCC-1703
USS Intrepid NCC-1631
USS Kongo NCC-1710
USS Lexington NCC-1709
USS Potemkin NCC-1657
USS Republic NCC-1371
USS Yorktown NCC-1717 
(Name unknown) NCC-1707
Class Specification:
| Type: | Battle Crusier |
| Length: | 75 meters |
| Height: | 140 meters |
| Width: | 305 meters |
| Decks: | 23 |
| Crew: | officers: 65 enlisted crew: 200 civilians: 100 |
| Max. Warp: | Warp 9.5 ( For 12 hours ) |
| Weapons: | |
| phasers: 12 type-VIII phaser banks torpedo launchers: 3 | |
| Defenses: | |
| Auto modulated shield system |
Virtually nothing is known about this ship which is composed of Excelsior-class components and Constitution-class warp nacelles. Which reminds me of chicken curry- yum yum.
Known Ships:
USS Curry NCC-42254
Ship Specifications:
Length: approx. 272m
The Daedalus class was a commonly used design in the early days of Starfleet in the mid-22nd century. Most were medical ships helping on dangerous missions. Unlike most later starships, the Daedalus had a spherical main hull. The last ships of this class were taken out of service by the year 2196.
Known Ships: 
USS Archon NCC-189
USS Essex NCC-173
USS Horizon NCC-176
Class Specifications:
Length: 105m
Crew complement: 230
Decommissioned in 2196
Runabouts are small starships for personnel transport over longer distances than a shuttlecraft. The Danube Class runabouts are equipped with an interchangeable mission module and an optional photon torpedo module at the top of the spacecraft. The ships, which have been introduced in 2368, are usually named after rivers on the planet Earth.
Known ships: 
USS Danube NCC-72003
USS Gander
USS Ganges NCC-72454
USS Mekong NCC-72617
USS Orinoco NCC-72905
USS Rio Grande NCC-72452
USS Rubicon NCC-72936
USS Shenandoah NCC-73024
USS Volga NCC-73196
USS Yangtzee Kiang NCC-72453
USS Yukon NCC-74602
(Name unknown) NCC-73918
Class Specifications:![]()
Runabout
Length: 23m
Max. speed: Warp 4.7
First commissioned in 2368
The Miranda class is apparently a parallel development to the reconstructed Constitution class. The warp nacelles are attached to the saucer bottom, which is extended at the rear end to hold additional sensor arrays on the top and two shuttlebays. The original version has a photon torpedo tube mounted on a "rollbar", whereas the rollbar was removed from the Miranda II, a transport variant. The Miranda III has no rollbar, but additional sensor pods at the port and starboard sides of the saucer. Miranda-class starships are still in use during the Dominion War. Some older ships have been reassigned to act as transport vessels.
Known Ships: 
USS Brattain NCC-21166
USS Lantree NCC-1837 (Miranda II)
USS Majestic NCC-31060
USS Nautilus NCC-31910
USS Reliant NCC-1864
USS Saratoga NCC-1867
USS Saratoga NCC-31911 (Miranda III)
USS ShirKahr NCC-31905
USS Sitak NCC-31859
USS Tian An Men NCC-21382
USS Trial NCC-1948
Class Specifications:
Miranda II: Transport
Length: 243m
Crew complement: 200 (Reliant), 34 (Brattain)
The Oberth class is a very common science vessel design that is used by Starfleet as well as other Federation institutions. Although its first construction dates back at least as long as the Excelsior class, many ships of this class are still in service.
Known Ships: 
USS Biko NCC-50331
USS Bonestell NCC-31600
USS Cochrane NCC-59318
USS Copernicus NCC-623
USS Grissom NCC-638
USS Oberth NCC-602
USS Pegasus NCC-53847
USS Raman NCC-29487
USS Tsiolkovsky NCC-53911
USS Yosemite NCC-19002
Class Specifications:
Research vessel
Length: approx. 150m
Crew complement: 80
Nothing is known about this starship class whose construction seems to date back to the late 23rd century or earlier.
Known Ships: No image avalible
N/A
Class Specifications:
N/A
The Soyuz class resembles the Miranda class. The main difference is that the Soyuz's hull is extended astern, and additional sensor pods are attached to the top and bottom of the extension and to the port and starboard edge of the ship. Unlike the Miranda class the Soyuz class has been decommissioned at the end of the 23rd century.
USS Bozeman NCC-1941
Class Specifications:
Length: 243m