An Unearthly Child
More Next Time trailers under the cut
NOTE : I could not find one for the second story possibly due to the fact that typing in "The Daleks" brought forth many, many Dalek videos. So instead I present you instead with one I did using footage from The Daleks to the trailer of Alien.
DALEK from greenpear on Vimeo.
The Edge of Destruction
Alas, with no episodes remaining no one could make a Next Time trailer for this story.