Given the amount of childish or badly written crap during the RTD era, anyone who doesn't think the overall standard has gone up since Moffat took over needs their head looking...
Those people mostly being Tennant fangirls who refuse to accept another actor in the role and believe the show was better as science fiction Eastenders.
Bullshit, liking the RTD era better is a valid opinion, it may not fit your tastes but can't just belittle others by calling them fangirls or in need of getting their heads checked.
I liked the RTD era better, yes, it was campy, over the top and sometimes ridiculous but it was always exciting,
I felt for the characters because I got to know them, they had lives, families, dreams etc., the storyarcs of each series were well written and subtly integrated into the episodes.
Steven Moffat has written fantastic episodes and created great characters but all of that happened during the RTD era, as soon as he became the showrunner it was over. The only good character he created since then is Rory, Amy was annoying and Clara? Maureen Ryan said it best, she's not a character, she's a mystery to be solved, that's boring. And River? Good riddance, a once great character was completely ruined and driven into the ground by too many appearances and her superior attitude got old really fast.
I could live with not so great companions, but the story arcs are even worse, there was no subtlety, the cracks, the pregnant/not pregnant screen etc. were all shoved into our faces, the Tardis exploding was never resolved, sure, we can fanwank an explanation but we shouldn't have to. The Doctor's "death" in series six was the worst story ever written because it was obvious from the moment they said "He's really dead" that he wasn't really dead, there was no tension, it would have been an okay storyline for 1 or 2 episodes but 13? Blergh.
Moffat thinks he's really clever, he's not, his "big" stories are too predictable and when they're not predictable it's because he's pulling something out of his ass (Hi Melody, Amy's and Rory's best friend since childhood, how are you? OMG, she's River, who would have though ... well no one, because no one knew she existed until 15 minutes ago).
He's also too in love with his timey wimey crap and the stories and characters are suffering because of it. Amy's and Rory's exit is the best example, he had set up a story that clearly showed Amy and Rory growing and moving away from their companion role, it would have made a lot of sense if their run had ended with them telling him "We love you and the time we spend with you, but we can't do this anymore, you're always welcome if you want to visit, but that's it. Thank you, goodbye!"
But instead of doing that he cooked up a nonsensical story about angels in manhattan that run a hotel and for some reason new York will explode if he tries to pick Amy and Rory up.