No sex/kissing - As fun as it was to watch Rose and the doctor together, I'm bored of whole "the companion wants to shag the doctor" thing now. It's time for something different. Something similar to what we got when Donna was a companion would be nice.
No River Song - Please, please, please don't bring River Song back, she's a horrible character, and even though it's nice to see a doctor who is about her age, I'm sick of her now and hope she never returns.
No (nonsensical) story arcs - I'm not a fan of SM, but there are times when I do enjoy his scripts. Season five was excellent, I loved the anniversary episode, and Sherlock is brilliant too, but seasons six and seven were awful. His episodes are much more enjoyable when there is more focus on one episode, rather than what's going to happen or something that happened almost a year ago.
Two part episodes - Goes back to the point above. I'd rather we got a few two part episodes than a story arc.
Pacing is an issue too.
Better characterization - Some people are obviously better at characters than others, and RTD was brilliant at it, and that's one of the things I've missed these past two seasons. I'm not saying that SM is useless at writing sympathetic characters, Amy had the potential to be a great companion, the quirky little orphan who waited all those years for the doctor to return, I felt sorry for her, and I liked her during season five, but she turned into a nasty bitch during season six. The only character who I had any sympathy for during seasons six was Rory, and that was because I felt sorry for him, being married to that horrible cow, Amy,
Clara is nice, but I'd like to see her involved in the episodes a bit more, so here's hoping that a new doctor and (hopefully) more focus on small story-lines will bring her out of her shell a bit more. And this is my point, I think season eight should focus one/two part episodes, as that's when SM's episodes are more enjoyable, both characterization and plot wise.