Depends on what you mean by drawn out emotions

Yours or actor's?

Emotionally for me, I like

Schindler's List (gripping and always disturbing, I was good until the scene where the rescued Jews give him a ring as a token of their gratitude. And Schindler breaks down, lamenting all the people who had not saved)
Up (damn cartoon made me almost cry)
Iron Giant (the "...superman..." scene makes me cry)
Roxanne ("I love YOU, Charlie")
LA Story (the weatherman scene at the end)
The Hotel Rwanda (seeing Don Cheadle as he tries to figure out what else he can sacrifice to save one more person, again and again. Helps that I mostly read "We Wish to Inform You That Tomorrow We Will be Killed With Our Families", a history of the Rwandan genocide. Mostly? I could not finish it, it hurt too much to keep reading)
Cast Away (I really believed Hanks' performance, the anger and frustration at minor losses, the mind numbing boredom)
1984 (my favourite novel, done justice by an A+ performance by John Hurt, which is now how I shall forever see Winston Smith)
Saving Private Ryan (solid, tense, gripping. But I pretty much cry at the scene at the end when the aged Ryan asks "was I worth it?"
28 Days Later (nope, not the horror part. While this was good, to me the real emotion was when Jim (Cillian Murphy) returns to free Selena and the girl. Selena kept saying she would abandon Jim at the drop of a hat to survive but Jim differs, saying humanity has a value. The alternate ending where Jim dies and Selena tells the girl, after she says "what do we do now?", we survive, is 100% shite. It negates the entire message, making it zombie porn)