I started watching Dr Who last month.

First, I watched the 1996 movie (8th Doctor). I loathed it.
It reminded me of the Buffy movie.
Which is why I kept going, hoping it would lead to an equally good series.
It kinda did.

Next, I watched the new, 2005 ---> series. It's enjoyable enough.
I'm currently at the 10th Doctor, and I must say every single actor chosen for the part is EXTREMELY charismatic, which is nice.

As for the old series, I never felt the need to watch them to understand plot points and such. It's explained quite clearly who the Dalek are, an old companion is introduced with ease, etc...