From Destinypedia, the Destiny wiki
Jumpships can be bought from the Shipwright Amanda Holliday, and are used to navigate the game menu when selecting different missions. Players with fireteams can see each other's ships as they travel in space.
In Destiny, players acquire their first jumpship at the end of A Guardian Rises, an Arcadia Class Jumpship. It lacks the ability to travel to other planets, requiring the player to pick up an NLS Drive in the mission Restoration. All subsequent spaceship models come equipped with an NLS Drive. Later, the player further upgrades their ships with a Martian Navcore that can plot a safe route through the Cabal defenses around Mars.
Prior to Shadowkeep, in Destiny 2, players acquire their first jumpship, Wanderwing, after completing Adieu. Wanderwing and all other ships the player obtains are already capable of interplanetary travel. Jumpships can also be customized with shaders and unique Transmat Effects at the cost of Glimmer. After Beyond Light was released, the Red War campaign was removed from the game, and players acquire the Arcadia Jumpship in a similar manner to Destiny 1.
There are several classes of jumpships that have been named in the game:
List of appearances