While all these songs aren't necessarily "moving," I have strong associations with each of them.

• Drops of Jupiter - Train
• Heaven - DJ Sammy
• Staralfur - Sigur Ros
• High Hopes - Pink Floyd
• Float On - Modest Mouse
• Alabama Song - The Doors
• The Blowers Daughter - Damien Rice
• Here I Go Again - White Snake
• Yatta!
• Centerfold - J Geils Band
• Our House - Madness
• Take On Me - A-ha
• Why Cant' We Be Friends? - War
• Such Great Heights - The Postal Service
• It's the Sun - Polyphonic Spree
• Hey Sandy - Polaris
• Here Comes the Flood - Peter Gabriel
• Stairway to Heaven - Led Zepplin
• Uncle John's Band - Grateful Dead
• Mr. Blue Sky - ELO