The Doctor had a number of hot companions over the years.  There was something intriguing about Leela.  Ace was kind of fun too - who can't like a girl that likes to play with dynamite :-).  I kind of liked Peri too (despite the fact that the actress was nervous and flubbed her lines), but I couldn't stand the jerk who played the Doctor opposite her.

I don't know if I can bring myself to watch the new one.  I am sure that it will be loaded up with special effects crap and have an absolutely inane plot.  Then again, the plotlines in the original series were kind of inane as well, but they all had a quirky charm to them.

If you had to ask me who my favorite Doctor was, it would have to be Tom Baker, with John Pertwee as my second choice.

Sara Jane was the best companion. (IMHO) ^_^
Well, the worst companion had to be K-9.  I liked the blonde Romana (Lalla something), too, but they frequently saddled her with that annoying dog-bot.

I'm also partial to Pertwee and Baker.

Best villain(s)?  

It'd be a toss up between the obvious candidates: the Master, the Daleks or the Cybermen.  I'd put an honourable mention in for the Sontarans though.  Favourite Doctor: has to be Tom Baker.
Until very recently I would have agreed, Tom Baker was my favourite. But I reckon that Christopher Eccleston was brilliant as the new Doctor.
I met John Pertwee at an AETN (Arkansas Eductional Tv Network) fuction in the early to mid 80's My brother dressed as Tom Baker in the hat and scarf that an Aunt made for us.  

I liked Tom Baker the best, there was a cute girl that was a fellow time lord trainee or something that tagged alone with him for a while and in the real world Married Tom Baker.  But my brother is the expert in the family over Doctor Who.  

I hope they don't screw it up any, but I guess the jury will be out till it hits the mass media.  

I thought the Doctor (Baker) seemed awfully emotional when Romana (Lalla Ward) stayed behind in her last episode.  Turns out they only stayed married for 16 months, though.