The first Dalek time machine was roughly comparable in abilities to a Time Lord TARDIS. It was dimensionally transcendent and created for the express purpose of chasing the First Doctor through time and space. It enabled the Doctor's companions Ian Chesterton and Barbara Wright to return home. At first the Doctor refused, insisting it was too dangerous but he changed his mind. The Doctor instructed the pair to set the ship for self-destruction after it had transported them to London on 26 June 1965. (TV: The Chase; PROSE: The Time Travellers)
Behind the scenes
This craft has been referred to as a "DARDIS" in fandom, but the name cannot be substantiated easily. It was never used in any televised adventure, and neither does it appear in the novelisation of The Chase nor in Mission to the Unknown or The Mutation of Time, the two book novelisation of The Daleks' Master Plan. Instead, author John Peel, like scriptwriter Terry Nation, predominantly uses the phrase "Dalek time machine", with occasional use of the phrase "Dalek time ship" for variety.
However, the name does appear within an officially licensed story: in the Sixth Doctor novel The Quantum Archangel, the Master is said to possess "the DARDIS core, stolen from Skaro itself". This is the full extent of the term's usage in the text, with nothing solidly tying this name to the Dalek time machines featured in The Chase. Dardis was also used as the name of Dr. Da's spaceship in Film Star Wins Oscar—Misses Premiere!, a 1965 parody of Dr. Who and the Daleks (the first Peter Cushing Dalek movie).
Likewise, the meaning of the acronym DARDIS remains unknown. It is likely a contraction of "Dalek TARDIS", or possibly an acronym for "Daleks And Relative Dimensions in Space".