Soldeed had dreams of conquest which were crushed when he learned the Nimons had been deceiving him. (TV: The Horns of Nimon)
As said by the Fourteenth Doctor, Dalek mutants dreamt of conquest. In the year 2323, the dreams of twelve captured mutants were used to fuel the Dalek-scapes of the Dalek Dome. (COMIC: Liberation of the Daleks [+]Alan Barnes, DWM Comics (Panini Comics, 2022-2023).) One Skaro City Dalek though had no interest in conquest, openly questioning its future self about the point of such an enterprise. (AUDIO: The Lights of Skaro)
In an alternate timeline created when Rassilon gave the Cyberiad the full resources of the Time Lords, the Cybermen began targeting those races that could pose a threat to their galactic conquest. By the 24th century, they had destroyed the Rutans, the Sontaran Empire, Alpha Centauri and the Dalek Empire. (COMIC: Prologue: The Fifth Doctor, Supremacy of the Cybermen)