-More violin-playing. Maybe S&J go to a concert (date night!), maybe Sherlock has some fun with late-night atonal composition, I don't care.
-Less episodes like the second (so many reasons, though it had the occasional moment).
-More episodes overall, though. Three is way too few, even by British standards.
-Showing more of Sherlock's "acting skills". That performance with the widow was…well, it wasn't great. Watson wrote of Holmes that the stage had lost a great actor when he took to detective work. Also, RIDICULOUS DISGUISES!
-Sherlock and John visit some version of Turkish baths. There will of course therefore be partial nudity. (I honestly don't KNOW what the updated version would be, since I don't have Sherlock down as a spa man, myself, but I must have S&J partially nude together SOMEHOW.)
-As per Caitlin Moran, Sherlock and Jon snogging, having been tied to a tree by Moriarty. This most of all. (Tree optional. Also clothes.)
Any others?
Seriously, despite some flaws, I am in love with this show, and I want it back NOW.