Fictional spacecraft
Fictional spacecraft were those that existed only as a fictional reference. Further examples include illusory spacecraft or holographic spacecraft.

Named 
 
 
 Kobayashi Maru
 
 Martuk
 Rocket ship
 "Spider ship"
 Ursva

Unnamed

22nd century vessel 
This 22nd century vessel was claimed to have been visited by Professor Berlinghoff Rasmussen and a colleague on one of their time travel adventures. 

Doctor Beverly Crusher assumed that said vessel was an Earth or early Federation starship, as she shared her knowledge of contemporary 22nd century medical technology, stating that "they hadn't perfected quarantine fields. You probably saw some surgical masks and gloves." ()

Beta XII-A ship 
In 2268, the  received a distress call from the colony on Beta XII-A in which they said that an unidentified ship was attacking them. Upon approaching the planet, the Federation starship failed to detect the ship. The distress call, and the colony, were a fabrication of the Beta XII-A entity. ()

Big ship 
In his first account of what happened to the , , the only survivor of the research vessel, reported that a big ship attacked them. After the Vico was disabled by weapons fire, the big ship beamed over a boarding party. ()

Federation-Lysian conflict ships  
According to a falsified intelligence report in 2368, over a two-month period, the crews of these fourteen Federation ships were captured and imprisoned on Lysia. ()

Incredible Tales rocket ships  

In 1953, Roy Ritterhouse drew an illustration for the magazine Incredible Tales of Scientific Wonder that showed a Human family being sold one of several rocket ships. ()

Romulan battle cruiser 
In a holoprogram created by Barash, William T. Riker had, in 2379, saved this Romulan battle cruiser, with collapsing warp coils and failing life support, that had drifted into Federation space. This action impressed the Romulans, and was the first step toward an alliance. ()

"the girl who made the stars" alien being's ship 

This starship was used by the alien being in the story of "the girl who made the stars". ()