Cyber-ship

A Cyber-ship, or Cybership, (COMIC: Assimilation²) or Cyber-spaceship, (TV: The Invasion) were the generic terms for the spacecraft used by the cybermen. Cyber-ships, such as Cyber-Warships, (TV: Silver Nemesis) made up the Cyber-Fleets, Cyber-Armadas, and Cyber Legions of the Cybermen. Leading Cyber-ships were Cyber-Flagships and commanded by Cyber-Leaders. (COMIC: The Bidding War)

History
A Cyber-ship, either on a military mission or colonisation mission, crash landed in the village of Klimtenburg prior to the 19th century. The ship's reactor housing was shattered but the reactor itself shut down. The surviving Cybermen seeded the atmosphere, which created lightning storms, from which they would collect power for the ship. However, they were defeated by the Eleventh Doctor and the villagers. The ship deactivated after all the Cybermen were destroyed. (PROSE: Plague of the Cybermen)

Wheel-shaped Cyber-ships were used to transport Cybermen from their mothership near the moon during an disastrous invasion attempt of Earth. The entire fleet was destroyed in transit when Zoe Heriot calculated the best trajectories for the intercepting missiles launched from Earth. (TV: The Invasion)

In December 1986, the CyberMondans used a circular shaped spaceship to travel from Mondas to invade Earth. (TV: The Tenth Planet) After these Cybermen were destroyed along with their home planet, Professor Allison Williams led the scientific team which investigated the ship in Antarctica. The Cyberships leftover from the invasion were examined and exploited by humans, allowing them to make advances in space travel, leading Sarah Jane Smith to describe the return of Mondas as "both the greatest disaster and most astonishing blessing ever to have happened to the human race." (PROSE: The Power of the Daleks)

Another ship crash landed on Earth. In 2011, the surviving Cybermen attempted to rebuild, but the ship and they were destroyed by the Eleventh Doctor and Craig Owens. (TV: Closing Time)

In 2070, the Cybermen used saucer-shaped spaceships to land on the Moon in order to attack the Moonbase. (TV: The Moonbase)

In 2079, the Cybermen travelled in a spaceship to attack Space Station W3. (TV: The Wheel in Space)

Following the Cyber-Wars, a single craft was used by the Cybermen to journey to Nerva Beacon. While in flight, they maintained contact with their human agent, Kellman, through radio communications.

After setting the beacon on a collision course with Voga, the Cybermen left in the ship. Commander Stevenson, following the Fourth Doctor's directions, redirected the rocket Skystriker into the craft, destroying it. (TV: Revenge of the Cybermen)

The Cybermen captured a time vessel that landed on Telos. It needed at least three people to pilot it. (TV: Attack of the Cybermen)

An armada of wheel-shaped Cyber-ships commanded by a Cyber-Controller travelled from one universe to another an entered an alliance with the Borg, forming the Borg-Cyberman Fleet. The Cybermen eventually betrayed the Borg, leading the latter to form a truce with Starfleet and the Eleventh Doctor and they stormed the Cyber-Controller's command ship. Once the Borg Conciousness was free of Cyber control, all the Cyber-ships were set to self-destruct. (COMIC: Assimilation²)

Vessels of a similar design were used by the Cybermen of Cybus Industries which were part of the Alliance at Stonehenge (TV: The Pandorica Opens) and the new Mondas Cybermen in a battle against the Daleks. (GAME: The Doctor and the Dalek)

Rory Williams and the Eleventh Doctor infiltrated and caused the destruction of several ships in the Twelfth Cyber Legion to learn the location of Demon's Run prior to their attack. (TV: A Good Man Goes to War)

In the 5320s, a fleet of Cyber-ships, led by a Cyber-Flagship attacked the planet Nomicae. (COMIC: The Bidding War)

Several Cyber Ships took part in the Siege of Trenzalore in an attempt to break through the force field put around the planet by the Papal Mainframe. The Cybermen made their own attempt to break the Siege including sending in a low-tech wooden Cyberman to Trenzalore but the Doctor stopped them. When the Daleks attacked the Mainframe and learned how to break the force field, the Cybermen followed in their wake and took part in the fighting that followed. They either all died or retreated in their ships over the course of the battle. (TV: The Time of the Doctor)

Alternate timeline
In an alternate timeline shown to Jean-Luc Picard by the Eleventh Doctor, Klingon Birds-of-Prey were appropriated by the Cybermen when they conquered Qo'noS by 2418. In 2533, three Cyber-ships oversaw the cyber-conversion of Earth and the destruction of Starfleet Academy, the last holdout of free humanity in the galaxy. This timeline, a combination of N-Space and the Federation universe, was averted when the Doctor and Picard stopped the Cybermen before they could conquer the Borg Collective in 2368. (COMIC: Assimilation²)