The Daleks are mentioned at the end when Superman mentions if the Doctor needed help, Superman and Batman could help him. The Doctor then proceeds to say that he does not think he'll need their help because Daleks don't have necks to snap. This is a reference to the 2013 Man of Steel movie, where Superman snaps Lex Luther's neck.
The 11th Doctor Pick up a new companion, who does not want to be with him. After pressing a bunch of buttons, the TARDIS lands on a planet with Daleks, possibly Skaro. On the planet, before the TARDIS lands, a Father Dalek throws a soccer ball beyond his child and the child goes to retrieve it. Before he can, The TARDIS lands on the father Dalek. The companion runs out and the Doctor yells after her. He notices the Child Dalek. The Doctor uses his Sonic Screwdriver on it. Later, the Doctor is still trying to make the Child Dalek explode with his sonic screwdriver, but no luck. More Daleks have formed a crowed around the scene. Two Daleks look at each other. A laser beam makes the sonic screwdriver explode. The Dcotor runs away. Later, with the TARDIS leaving the planet in the background Stan Lee (who makes a cameo in most of the Bad Days shorts) fights off some Daleks. Later, on the TARDis, in the corner, the Child Dalek appears and says, "Exerminate!". The Doctor laughs at the Dalek. The Child Dalek blasts a hole in the Doctor's chest making him regenerate into the 12th Doctor.
In this video, the 10th Doctor rap battles Doc Brown. In the middle of the rap battle, Doc Brown summons a Dalek and it shoots the Doctor making him regenerate into the 4th Doctor. The 4th Doctor finishes the rap.
Real Episodes: This is either the creator's version of a trailer for modern episodes or trailers for classic Doctor Who episodes, which never had the "next time on..." trailers.
Fake Episodes: This is a mash-up of clips used for an episode that the creator wishes were real.
The most popular of these is a fan-made trailer that was made for the 50th anniversary called, "Doctor Who: The First Question". It features numerous clips from both eras of the series. It was uploaded in Mid-2012 by LastWhovianTrailers and was re-uploaded by numerous users, up to the week of the Anniversary.
Music: This version features clips put to existing music. The difference between this and a music video is that a music video puts the clips to the music and a musical tribute puts the music to the clips and can feature more than one song. There are very few of these that contain the Daleks.
No Music: This version just puts clips together.
The Daleks also appear in numerous other fan-made trailers.