Eyes Open by Taylor Swift

This is Taylor Swift's 2nd soundtrack for The Hunger Games.

The Hunger Games Soundtrack by Tying Tiffany & Lorenzo Montana

The Hunger Games trailer soundtrack by Tying Tiffany and Lorenzo Montana.

A Thern for the Worse by Michael Giacchino

My Body is a Cage by Peter Gabriel

Peter Brian Gabriel (born 13 February 1950) is an English singer, musician, and songwriter who rose to fame as the lead vocalist and flautist of the progressive rock group Genesis. After leaving Genesis, Gabriel went on to a successful solo career. His 1986 album, So, is his most commercially successful, and the album's biggest hit, "Sledgehammer", won a record nine MTV Awards at the 1987 MTV Video Music Awards, and the song is the most played music video in the history of the station.
This is the song from the John Carter trailer.

World of Trees - Soundtrack from Dr. Seuss' the Lorax

Let It Grow (Celebrate the World) by Ester Dean

Ester Renay Dean (born December 15, 1987) is an American singer and songwriter, and record producer signed to Interscope Records. She is most notable for her dual appearance on Rio: Music From The Motion Picture (2011) and her 2009 US hit single "Drop It Low", which featured singer Chris Brown. Now this song is a soundtrack from Dr. Seuss' the Lorax.