Could never get into "Dr. Who" because it is the typical British show, very slow and deliberate. And the fact that they couldn't keep a star paid enough they had to have so many different people portray the Doctor of the title.
Sorry that it wasn't fast-paced and action-packed enough for you. It was too busy developing characters and telling great stories.
They didn't change the actor playing the Doctor because he couldn't be paid enough; it's because the first actor to portray him was elderly and ill. 'Regeneration' was the utterly ingenious solution, a solution which makes Doctor Who have the potential to go on forever.
Doctor Who is the better show. Firstly, it's much more accessible - to understand Star Trek, you need to have a rough idea of the universe around these characters and there's far too much mythology baggage to get through. Conversely, Doctor Who is simple - an ancient, immortal alien who can change his face upon death lives in a time-travelling box, adventuring throughout time and space with human companions. The Doctor Who format is also far more flexible: one adventure will be a Western, the next will be an Agatha Christie mystery, then the story after that will be a cross between a Hammer Horror movie and a romantic comedy. Giant wasps disguised as vicars. Drug-dealing extraterrestrials meets soap operas. Shakespeare as space opera (The Caves of Androzani
particularly exemplifies this). Mummies, vampires, zombies, cavemen, Lovecraftian abominations, cyborgs, pirates, mad scientists, great detectives, witches and dinosaurs have all made their mark on the show's history.
Conversely, Star Trek has ridden on the back of Doctor Who's inventions; for example, the superb concept of the Cybermen was almost blatantly stolen by Star Trek in the form of the Borg.
Each episode of Doctor Who is fresh and unique, because that's what the show inherently is - a clever, inventive story juxtaposing different styles and themes, placing it in a classic genre or setting, throwing in intelligent twists and turns and including a philosophical or sociological message as the icing on the cake, yet these messages would never be patronising, but appeal even to adults.