The first shows Kryten (Robert Llewellyn) explaining to The Cat (Danny John-Jules) an experiment with some mysterious crystals that have the "power of synchronicity", after which the pair find themselves unable to speak independently.
The other videos focus on Lister (Craig Charles) losing Rimmer (Chris Barrie) in a poker game and the crew's attempt to break the bad news to him.
Red Dwarf X consists of six episodes and will reunite the original cast for the first time since 2009 Dave specials 'Back To Earth'.
It is the first full series to air since 1999, when the show was broadcast by the BBC.
Charles recently declared that he is "really pleased" with the new Red Dwarf, adding: "The writing is right up there with some of the best ever written for the series. It's exceeded my expectations."
Red Dwarf X begins Thursday, October 4 at 9pm on Dave.