From Memory Alpha, the free Star Trek reference

A fan of Star Trek: Deep Space Nine and Star Trek: Enterprise from the United Kingdom. I hated "These Are the Voyages..." though.

Although DS9 is the superior series, I thought Enterprise was an improvement over Voyager. The writers of Enterprise clearly saw that DS9 worked and adapted its format and, although it didn't turn out as well, churned out some pretty good episodes.

Defiant-class starships
USS Defiant (NX-74205) • USS Defiant (NCC-75633) • USS Valiant • Unnamed
Mirror universe: Defiant

Excelsior-class starships
USS Berlin • USS Cairo • USS Charleston • USS Crazy Horse • USS Enterprise-B • USS Excelsior • USS Farragut • USS Fearless • USS Fredrickson • USS Gorkon • USS Hood • USS Intrepid • USS Lakota • USS Malinche • USS Melbourne • USS Potemkin • USS Repulse • USS Valley Forge • Unnamed

Galaxy-class starships
USS Challenger • USS Enterprise-D • USS Galaxy • USS Odyssey • USS Venture • USS Yamato • Unnamed

Miranda-class starships
USS Brattain • USS Lantree • USS Majestic • USS Nautilus • USS Reliant • USS Saratoga (NCC-1867) • USS Saratoga (NCC-31911) • USS ShirKahr • USS Sitak • USS Tian An Men • USS Trial • Unnamed

Nebula-class starships
USS Bellerophon • USS Bonchune • USS Farragut • USS Honshu • USS Leeds • USS Lexington • USS Merrimac • USS Monitor • USS Phoenix • USS Prometheus • USS Sutherland • USS T'Kumbra • Unnamed

Akira-class starships
USS Thunderchild • Unnamed

D'deridex-class starships
Belak • Decius • Devoras • Dividices • Genorex • Haakona • Khazara • Koderex • Lovok's Warbird • Makar • Sela's Warbird • T'Met • Tebok's Warbird • Terix • Tomal • Tomalak's Warbird • Unnamed

Danube-class runabouts
USS Gander • USS Ganges • USS Mekong • USS Orinoco • USS Rio Grande • USS Rubicon • USS Shenandoah • USS Volga • USS Yangtzee Kiang • USS Yukon • NCC-73918 • Unnamed

Galor-class starships
Aldara • Dolak's starship • Dukat's starship • Jasad's starship • Kraxon • Nador's starship • Ocett's starship • Prakesh • Reklar • Toran's starship • Trager • Vetar • Unnamed

K't'inga-class starships
IKS Amar • IKS B'Moth • K'Nera's battle cruiser • Kang's battle cruiser • IKS Kronos One • IKS T'Ong • Unnamed

Oberth-class starships
USS Biko • USS Cochrane • USS Copernicus • USS Grissom • USS Oberth • USS Pegasus • SS Tsiolkovsky • SS Vico • USS Yosemite • Unnamed

Vor'cha-class starships
IKS Bortas • IKS Drovana • IKS Maht-H'a • IKS Qu'Vat • IKS Toh'Kaht • IKS Vor'nak • Unnamed