Fighter: Prosecutor
Bomber: Barghest
Freighter: Draugr
Transport: Bison
Gunboat: Inquisitor (or the old LH GB, either or)
Frigate: Peregrine
Cruiser: Hel
Battlecruiser: Bullhead (Judicator when it was one)
Battleship: Arbiter (when it wasn't stubby)
Fighter: Defender
Bomber: Don't have one as of now
Freighter: Kestrel
Transport: Armored Transport
Gunboat: I'm in the mood for an Inquisitor
Frigate: Raba
Cruiser: I have yet to find a cruiser I favor
Battlecruiser: Have not found one I like entirely.
Battleship: Liberty "Overlord"-class Dreadnought, it's design and abilities in the game is one of the reasons why I'm into the Discovery mod. (Also, I'm in love with said ship)
This list is purely by aesthetic / model, though in-game other factors are considered before buying a ship.
Hard to pick one, so I will just put top 3:
Fighter: Plover, Claymore, Defender
Bomber: Pytho, Blacktip, Roc
Freighter: Kestrel, Clydesdale, Rhino
Transport: Kaiser, Mammoth, Bison/Stegodon
Gunboat: Condor, Defiant, Imperator (really wish the 2 heavies are at the front 2 slots instead)
Frigate: Peregrine, Raba, Salvager
Cruiser: Storta, Donau, Resheph
Battlecruiser: Interdictor, Komainu, Tirpitz
Battleship: Valor, Overlord, Ranseur
Fighter: Crow (a sad loss to the game)
Bomber: Upholder
Gunboat: Liberty Navy (forget the name)
All others are practically useless to me except maybe some kind of Freighter for money farming.
"He who controls the past commands the future, He who commands the future, conquers the past."
- Kane, Brotherhood Of NOD.