In general I'm in the "Doctor Who needs to end" camp. Anyway... Eccleston's Doctor was a three dimensional character who used his brain to solve problems. His actions actually had consequences throughout the series, which had a continuity that was complex yet still made sense. Tennant's Doctor was gradually reduced to nothing more than a costume and a few catchphrases, and his stories basically rely on their own extreme convolutedness in the context of the greater continuity (which is practically non-existent at this point) to justify the use of deus ex machina in the form of either the Doctor's powers or features of the Tardis, neither of which are ever brought up again. What little I have seen of Smith's series reminds me of Tennant but with worse stories, worse characters, worse special effects and more of that annoying River Song idiot.
The entire continuity was: Bad Wolf.
Seriously, that was the entire season in a nutshell. The words Bad Wolf popping up everywhere.
It was marred with people killing themselves to stop the threat or the Doctor directly killing them.
The First Episode: Doctor Kills the giant plastic maker thingy.
The second episode: Tree lady kills herself to flip a switch.
The Third Episode: Maid kills herself to seal a rift.
The Fourth and Fifth episodes: A lot of important British people die and the Doctor has a missile fired at Downing Street. Think that didn't kill a few innocent people? Not only that but someone ELSE actually launched the missile, not The Doctor.
The sixth episode: The dalek kills himself. (thanks to Rose BTW)
The seventh: Human saves the day again but this time doesn't die.
8: Rose's dad kills himself.
9-10: Everyone lives. (because mommy gives her boy a hug)
11: Deus Ex "villain is defeated"
12-13: The Doctor Lies and get's a lot of people killed (intentionally). Rose does a Deus Ex.
Have you noticed a running theme? A human saves the day in most cases. Not the Doctor, some random character. And it's usually fatal.
In all 10 "stories"(I count two parters as one story for this count) humans(and one tree lady) save the day 8 times. The Tardis in 1. The Doctor in 1.
This is probably why you like it more.