First of all the genius of Stephen Moffat is that he shot the new series out of sequence so Matt was already comfortable in the role by the time he shot this first episode.
To the story, well it was ok but nothing overwhelming, think the main point was showing the transition from the old to the new and introducing us to all the new characters which it succeeded very well in doing.
Matt Smith was instantly believable as The Doctor and the chemistry between him and Amy was natural and real.
Even the young Amy was good, incidently she is the real life cousin of Karen Gillan for those of you who never knew.
Special effects were fine and the tardis is better with all the extra rooms and gadgets although I think this is to benefit the children more than anything.
I give the overall story 8/10 and look forward to the rest of the series.
I thought they did excellent casting someone who could have been a young Karen. Thanks for letting us know why!
I have to watch it again (what a chore!) but I really loved it. Amelia showed from the beginning that she was the match for any Doctor, and she and Matt did well together. With 14yrs of angst and broken promises it looks like she's still willing to believe in the Doctor, so what more could he ask? (Well, besides less cricket bat. But then I could've done with a bit less spitting food
but I loved his rejection comments to the various offerings.)
I am just glad that they didn't give him a banana to reject because both 9 & 10 liked their bananas. But then it was The Mighty Moff who gave the Doctor the banana in Empty Child/The Doctor Dances.
Sorry but I thought the whole thing was a bit off. The little girl at the start asking a strange man into the house with no sign of parents around was absurd and shouldn't be brushed over. Matt is geeky and might grow into the part but I prefer the gravitas of the old years, if you want a different programme call it something else! At least he was better than David Tennant though.
Positives for me were the gorgeous Amy and the fantastic title music revamp.
She was praying to Santa ( I won't go there but I thought it was amusing) and he answered her prayer by having a Blue Box hurtle into her garden, A blue Box that said "Police" on it. Of course she is going to have faith in him. She was also looking for someone to trust. Her parents are obvious dead. Her Aunt leaves her behind and is apparently critical of her niece. Probably hasn't had dealings with a child that age. (Oh, What you can gather from a few comments)
And your assessment of David Tennant puts you the minority.
As far as the music, sorry, not that good. Ellie Vador might like but ths music teacher did not.
Best Parts: The Doctor and young Amy. The TARDIS (you sexy thing luv!). Fish custard. Raggity Doctor.

I have to agree with you! All those and snapping his fingers to open the TARDIS door!
Yes Emie!!! I loved Rory's long look at Eleven... "she made me dress up as you" which was too funny, I wonder just how many kids have done that over the years? I seem to remember making a young pal of mine wear a long tattered scarf....
I envy those who came to the Doctor as kids and got to play out adventures in time and space. <sigh> They look at you funny as an adult when you run through the Public Library warning peole to stay out of the shadows.