Doctor Who (2005) 1.03

The Unquiet Dead

The Doctor and Rose land in Cardiff in 1869, although the Doctor thinks at first that they have landed in Naples in 1860. There are ghost like creatures possessing dead human bodies. Charles Dickens is in town. The Doctor and Rose meet Dickens and the ghosts.

The Doctor tries to help the ghosts. They are victims of the Time War, or so they say. They also claim to just want to attain physical form again. The rift that connects their world to the Earth is found in the morgue of that belongs to an undertaker's business. Gwyneth, the undertaker's assistant turns out to be the key to letting them through the rift and also to destroying the rift. 

Doctor Who (2005) 1.02

The End of the World

The Doctor takes Rose to the distant future to witness the day the Sun expanded and destroyed the Earth. The TARDIS lands on an observation platform near the Earth. They are joined by a dozen or more guests who are there for the same reason. The Faceless Meme, one of the guests hands out gifts that look like spheres but actually contain little spider-like robots.

Rose gets a bit weirded out by the other guests. She tries talking to the Doctor about it but he just weirds her out some more when he explains to her how it is that everyone seems to be speaking English.

Doctor Who (2005) 1.01

Rose

Creepy looking plastic men attack Rose Tyler in the basement of the department store where she works. A stranger, identifying himself only as the Doctor, saves her from the creepy plastic men and helps her get out of the building.

The building blows up, minutes after Rose parts ways with the Doctor. She goes home and sleeps in the next morning. Soon after she gets up she finds the Doctor at the front door of the apartment where she lives with her mum. 

He is looking for something related to the creepy plastic men and didn’t expect to meet Rose again. The Doctor finds what he’s looking for, a plastic arm. It attacks first him and then Rose but he manages to deactivate it.