So have you seen Star Trek?
I have.  They are quite enjoyable, but I don't really know a lot about Star Trek in general.
Well you are talking to the right person because I am a huge fan. I have been watching it since 1966 when it first aired. 
Wow!  I didn't even realize the show was that old!  Who was the first Captain?  I can't recall.
The first captain was James T. Kirk played by William Shatner.
That's right.  I remember now.  I did watch some of the shows in the 90's.  They were quite interesting and fun.
Yeah the original show had 4 spin offs that followed a new crew. 
The Star Trek franchise seems quite successful.  I think they even have conventions for it!
Doctor Who
Doctor Who is a British science fiction television programme produced by the BBC since 1963. The programme depicts the adventures of a Time Lord called "the Doctor", an extraterrestrial being, to all appearances human, from the planet Gallifrey. The Doctor explores the universe in a time-travelling space ship called the TARDIS. Its exterior appears as a blue British police box, which was a common sight in Britain in 1963 when the series first aired. Accompanied by a number of companions, the Doctor combats a
in the episode "Space Seed" and later in the 1982 film, "". The first episode of this "Enterprise" story arc also saw the re-appearance of the Orion slave girls as seen in the first pilot of "Star Trek", "". Coto credited this to his idea for the fourth season saying, "What I really wanted to do this season is make the episodes that I as a Star Trek fan would have to see. You know, as a fan of the original series