Sherlock is bae: a comparison

Sherlock Holmes (two movies total)
The most action packed and esthetically pleasing, though the crimes are never thoroughly explained and therefore hard to fully grasp.
  
Sherlock (Robert Downey Jr.): Almost TOO eccentric (he's hyper and needy at the same time). And you're never given a clear insight into his methods, which makes him unpredictable and hard to connect to.  
Watson (Jude Law): The best Watson, in my opinion. He is bossy but supportive. Independent but caring. He doesn't let Sherlock walk all over him - and he's not dependent upon him either.
Moriarty: I'd say medium level scary - like that tiny black lump on the floor that makes you jump because you think it's a spider..

Moriarty? 

Sherlock (tv series)
Detailed crimes that really shows you how Sherlock can see what no one else does. Truly a one-man show! The only downside is that Sherlock's such a genius he's become a sociopath that lacks warmth. 

Sherlock (Benedict Cumberbatch): He picks up on everything = easy to root for him to solve the crimes. Infuriatingly robotlike with no empathy = easy to want to give him a poke in the eye.
Watson (Martin Freeman): Brings a lot to the story by being himself rather than by contributing with knowledge and partnership. Sort of a shoulder angel for Sherlock (which he needs). 
Moriarty: Eerily unpredictable and by far the scariest Moriarty. 

 I'm still savoring the third season of Sherlock, since the fourth one won't air until 2016..

Elementary (tv series) 
An unpredictable re-telling where nothing really is as you expect it to be. It even shows you Sherlock as a teacher - not a god. It's a crime series though, which makes it easy to predict when the killer will be revealed. 

Sherlock (Jonny Lee Miller): He's the most human of the three and truly cares about people - he even heartbreakingly loves a few. The most sensitive and therefore my favorite.
Watson (Lucy Liu): A true partner. She has real knowledge and helps to solve the crimes as a second detective. What's great about this Watson is that she does it for herself; because she gets something out of it.   
Moriarty: Meh. Neither really threatening nor very scary.