The brainchild of the BBC, Doctor Who was intended as combination educational and entertaining series for children. In the beginning, historical stories were alternated with science fiction ones, but eventually this was dropped as the sci-fi were far more popular. Great names associated with Doctor Who include Verity Lambert, producer, and Terry Nation, writer and creator of the Daleks. 
Many early episodes no longer exist in video form, but all are preserved in audio thanks to fans who taped the episodes as they were broadcast so they could enjoy them again and again. 
In the early days of (British) television, drama was done effectively as a filmed play. Hence the long scenes, static speeches and few cutaways. Just like the original Star Trek. 

In this section - Transcripts of the episodes up to the end of the Seventh Doctor. Eventually. There are rather a lot of them to type up, you know.
'Modern era' transcripts are available elsewhere on the Internet. .

The Doctor:

 1. William Hartnell 1963 - 1966
 2. Patrick Troughton 1966 - 1969
 3. Jon Pertwee 1970 - 1974
 4. Tom Baker1974 - 1981
 5. Peter Davison 1982 - 1984
 6. Colin Baker 1984 - 1986
 7. Sylvester McCoy 1987 - 1989
(8. Paul McGann 1996 movie + audio productions)
 9. Christopher Eccleston 2005-
10. David Tennant 2005 -

The Companions:

Barbara Wright 1963 -
Ian Chesterton 1963 -
Susan Foreman 1963 -