My favorite hollywood actor is Leonardo DiCaprio. 
I love his performances at in movies (actually, I think the roles he's chosen recently were all of a sort (similar? very emotional?): yelling at somebody...raging at somebody...losing his wife...in a tragic incident...) 

but I like him more when he speaks to people to be awaken to wake them up about environmental issues. 
He reminds me that there are so many problems in this world to we need to solve together. 

and I like Edward Norton, too. I especially I like the various characters he's acted as. 
The best part of him is the way he performs the portrays 'powerful' characters. 
He seems like he is very weak (in the real world), but he is not weak in movies. 

Recently, I fell in love with Elizabeth Olsen and Asa Butterfield. 
They have a unique aura, and I like their recent films.

Notes:

1. You don’t actually need to write “in movies”, because we know that he acts in movies.
2. The parenthesized clause is vague.  You say “actually….but I like him more when.” You don’t explain your feelings.  “Actually, I don’t prefer the roles he has chosen recently; they were all very emotional:…”.  If you write it like that, it is much more clear.
3. Also, the first paragraph you talk about how you don’t prefer his “role” in a movie, but in the second paragraph you aren’t talking about movies.  Unless you are talking about an environmental movie…
4. Edward Norton is not his characters, so you need to make the second sentence about Edward Norton. “I especially like the characters he chooses.” “I especially like how he portrays his characters.”
5. Filmography is a list, it is not movies.  Unless you like the list ITSELF, you should not say filmography.

You did a great job with this!  If you have any questions please let me know.