A warp-capable vessel or warp ship was a term used to describe any type of spacecraft that was capable of warp drive. This capability generally made the distinction between spaceships used spacefaring civilizations and starships of warp-capable civilizations.
In his 2063 commencement address, Zefram Cochrane mentioned the first flight of his warp ship, the Phoenix which opened doors for all of Humanity. (ENT: "Regeneration") The term was also used by several Starfleet officers in the 22nd and 24th century describing Cochrane's "experimental warp ship". (ENT: "Future Tense"; Star Trek: First Contact)
While piloting the NX-Alpha, A.G. Robinson was eager to test the warp drive and asked NX-Control for testing the warp ship. (ENT: "First Flight")
In 2152, Esaak, an individual from the pre-warp Valakian species who was attempting to find the cure for a disease that was wiping out their species, asked Jonathan Archer for access to Earth's advanced technology, stating that "With a warp-capable starship, our chances would be greatly improved [for finding a cure]." (ENT: "Dear Doctor")
The term was also used when Captain Jonathan Archer asked Kuroda Lor-ehn if he ever piloted a warp ship and when Commander Trip Tucker asked why Enterprise NX-01 had to transport the Tellarite ambassadors, as this species had warp ships themselves. (ENT: "Canamar", "Babel One")
In one version of history, the Krenim Imperium consisted of over 200 star systems, 900 planets, and 1000s of warp-capable vessels. (VOY: "Year of Hell")
An alien ship hulk discovered in chaotic space was determined to be "warp capable". (VOY: "The Fight")
In the 33rd century, when Craft learned that the USS Discovery had a warp-capable shuttle in its shuttlebay, he realized that his homeworld of Alcor IV was in range. (ST: "Calypso")