(WARNING - CONTAINS SPOILERS)
I researched online and took information found through other sites and added/corrected information after seeing the movie again. Here's the best order I can come up with, which includes both the Soundtrack and the Score. Songs listed in order of appearance. Bonus indicates it's a track only available on the Deluxe version of the soundtrack.
1. Chop and Change - The Black Keys (SDTRK) Opening scene as Riley leaves the bar.
2. Riley (SCORE) Riley is under attack and undergoes the transformation.
3. Compromise/Bella's Theme (SCORE) Edward and Bella in the meadow discussing marriage.
4. Let's Get Lost - Beck and Bat for Lashes (SDTRK) Bella contemplates seeing Jacob, Edward sabotages Bella's truck when she tries to leave.
5. How Can You Swallow So Much Sleep - Bombay Bicycle Club (Bonus - SDTRK) Cafeteria scene, Jessica goes over her graduation speech and Alice announces a graduation party of the Cullen house.
6. Bella's Truck/Florida (SCORE) I think you actually hear the beginning of this before #5 when Bella and Edward are in the truck discussing werewolves. If so, the second part of the song then would be heard here when Bella is visiting her mom.
7. Victoria (SCORE) Victoria is being chased through the woods by the Cullens and werewolves.
8. A Million Miles an Hour - Eastern Conference Champions (SDTRK) Jacob confronts Edward at school about the Cullens entering their territory.
9. Jonathan Low - Vampire Weekend (SDTRK) Bella leaves with Jacob on his motorcycle.
10. Imprinting (SCORE) Jacob talks to Bella about the Emily/Sam/Leah triangle and the concept of imprinting.
11. The Cullens Plan (SCORE) The Cullens discuss the situation with the newborn army.
12. Atlas - Fanfarlo (SDTRK) Edward drives Bella to the treaty line.
13. The Line - Battles (Bonus - SDTRK) Edward drives off after dropping off Bella at the treaty line.
14. Life on Earth - Band of Horses (SDTRK) Bella and Edward talk about her becoming a vampire.
15. First Kiss (SCORE) Jacob tries to kiss Bella, Bella punches Jacob.
16. Rosalie (SCORE) Rosalie tells Bella about her life as a human and becoming a vampire.
17. Decisions, Decisions… (SCORE) Volturi watch over the newborn army, Jane decides whether to get involved or let them continue.
18. Ours - The Bravery (SDTRK) First song playing at party at the Cullen's house.
19. Neutron Star Collision (Love is Forever) - Muse (SDTRK) Second song played as Jacob and the tribe arrive at party.
20. They're Coming Here (SCORE) Alice sees vision of army approaching, Jacob and tribe agree to join fight.
21. With You in My Head - UNKLE featuring The Black Angels (SDTRK) Vampires and werewolves train on how to kill the newborns.
22. Jacob Black (SCORE) Plays right after training sequence, Jacob's theme.
23. Jasper (SCORE) Jasper talking about turning into a vampire and how he used to train newborn armies before Alice came along.
24. Wolf Scent (SCORE) Jacob takes Bella up the mountain to see if his scent masks hers.
25. Claire De Lune - George Wilson (Not on either, heard previously in Twilight) Bella comes to the Cullen house to stay the night.
26. My Love - Sia (SDTRK) Bella and Edward kiss, Bella finally says yes to marriage proposal.
27. Rolling In on a Burning Tire - The Dead Weather (SDTRK) Victoria talks to Riley about killing the Cullen clan.
28. Mountain Peak (SCORE) Bella plants her scent as army moves in and Bella is taken to top of mountain.
29. The Kiss (SCORE) After Jacob finds out about Bella's engagement, Bella runs after him and asks him to kiss her.
30. The Battle/Victoria vs. Edward (SCORE) Newborns attack below as Riley and Victoria attack Bella's camp at the mountain top.
31. Jane (SCORE) Volturi arrive after the battle, lay judgment down on Bree Tanner (newborn).
32. As Easy As Breathing (SCORE) Bella sees Jacob after he's been fixed and is healing post-battle.
33. Wedding Plans (SCORE) Bella and Edward discuss the wedding and Bella tells him why she really wants to be a vampire.
34. Eclipse (All Yours) - Metric (SDTRK) Bella and Edward hug, end credits begin.
35. Heavy in Your Arms - Florence Welch + The Machine (SDTRK) 2nd song, end credits.
36. What Part of Forever - Cee Lo Green (SDTRK) 3rd song, end credits.
wkrp in Cincinnati end credits by Jim Ellis
The song that is first played in the closing credits for the film is "I'm a Man" by the group Black Strobe.
Tna by white beaver.
The end credits feature the song "Where Is My Mind?" by the Pixies .
Its "The Other Side of Mt. Heart Attack" by Liars
The song is actually called "End Credits"
wkrp in Cincinnati end credits by Jim Ellis
Death(feat.james Willis)
The song that is first played in the closing credits for the film is "I'm a Man" by the group Black Strobe.
The song that plays during the Cullen's practice fighting scene in "Eclipse" is "Southern Lights" by the band Moby.
Stitch - Baby Animals
Gemini by One Inch Punch
Tna by white beaver.
Redemption Song by Bob Marley.
The song that plays during the credits is called, "every time" by- Rusty Truck
I'm a man by black strobe
ludacrismas - ludacris