Yes.
In fact, Matt Smith is my favorite Doctor of the last three.
I hated David Tennant's Doctor by the end of RTD's run.
To start, the show was a complete insult to anyone with a basic understanding of Physics, Biology, and/or Chemistry. Remember that scene in "The End of Time" when fucking RADAR didn't work because the spaceship powered down? That blew my mind. Then when it powers back up, fuck me if the RADAR didn't instantly pick that shit back up. That's not even close how RADAR works RTD, and being from the country that perfected it during WWII you should know that shit by now. Then there's RTD's complete lack of subtlety throughout most of his seasons. Every scary situation or morally ambiguous situation is hammed up; beat into your face with hatred and urgency, like a football fan at his home team's game. The Daleks were completely benign - if not comedic by the end of Davies' run. RTD's Doctor wiped them out no less than 4 times, but still had the hypocritical balls to refuse to use a gun. I guess as long as a bullet isn't involved it's perfectly fine to casually commit genocide.
The same bipolar personality runs through almost all of Tennant's run. He played a guy who did this all the fucking time:
-Killed the entire Racnoss species because the Empress insisted on eating humans, who were like cattle to her.
-Knowingly killed a Cyberman drone by enabling its ability to feel emotions, essentially forcing it to commit suicide via the tremendous amount of fear and pity it felt for itself because of what had (through no fault of its own) happened to it.
-Doesn't mind obliging a sick man's request for euthanasia by using a moon-powered laser to disintegrate him instead of finding a cure for his illness.
-Insists that an alien-caused obliteration through asphyxiation of an entire human civilization is perfectly acceptable (this is after the Racnoss encounter), and then changes his mind - saving a single family from destruction (because wibbly-wobbly whatever).
So, again, RTD's 10th Doctor has the ability to pull entire planets through space and time with the TARDIS, but will instead opt to drown an entire race and burn their Empress alive completely wiping them from existence after a single vague warning if he's feeling angsty.
By far my favorite episodes from RTD's era were the "Family of Blood" pair of episodes, "Midnight" (which RTD thought was shit), and "The Satan Pit" pair. They had some excellent writing, and RTD even wrote one of them himself. I excluded "Blink" and the Library episodes because those were Moffat's work, but I enjoyed them immensely.
As you can tell, most of my beef is with the writing, and not Tennant's acting. I didn't mind Tennant's acting, though I never found him threatening. Tennant could do curious and snooty/intelligent well, but was never threatening (again: I prefer subtlety).
As for Moffat's 11th Doctor - I like that he seems more alien (at least to me). He's more quirky, he's more aloof, and really seems like an alien who wasn't born human but has a "thing" for them. Matt Smith really knows how to play "weird", which I love, and can pull of threatening much better. Matt Smith's Doctor also seems to be more optimistic, not so bipolar. Dangerous situations are just "problems" to be solved, not the constant dramatic struggle between life and death that RTD preferred.
I adore Amy and Rorey. They're easily my favorite companions. Not only because I have a thing for spitfires (Donna is my choice for 2nd best), but there's an additional dynamic to them besides simply falling for The Doctor and spending 15 episodes figuring out why he's not reciprocating your schoolgirl crush. Donna had a similar thing, which is also why she's my 2nd best.
River is a mixed bag. I think Moffat played her too much. I like the idea of the relationship between River Song and the Doctor (and even called River's relationship to Amy before Moffat's season began), but by the end of last season all the mystery had been sucked dry. The same thing is happening for the Weeping Angels, which are making yet another reappearance (seriously, the Byzantium was enough for a while).
Still, my opinion should be obvious. I think Moffat's writing is much more complex/subtle, and plays more on my preferences than RTD's. Completely embarrassing factual errors aside, I don't hate RTD's era (it's here I bought into the series, after all), and I perfectly understand people who love the 10th Doctor. It's just not my bag, and I have my reasons.
