What about at the Getty Museum overlooking the city(should be behind us in the video). There are quite a few places in it that make for great picture/video taking;
For example:
http://photos.igougo.com/images/p135584-Los_Angeles-The_Getty_Center.jpg
http://www.spencerslimo.com/GETTY%20GARDEN%201.jpg
http://brst440.commons.yale.edu/wp-content/uploads/getty_center_garden.jpg
http://www.camoto.com/web3/images/getty%20museum%202.JPG
etc.