Here is a video I took with my new Google Nexus 4 phone while I was walking my dog. The quality of this footage is untouched, it was not edited in any way, besides the overlapping of textual graphics. The footage itself is a perfect example of the Nexus 4 video recording quality.
Nexus 4 captures Kiki's Adventurous Walk - YouTube
Nexus 4 captures Kiki's Adventurous Walk - YouTube