I think you can also fly Norwegian (787 Dreamliner) to Oakland, which is basically San Francisco.
They also fly in and out of LAX.
When we moved from London to LA, we flew with them in their Premium cabin. I have a full review on FT (but it's easier for me to point you to my site:
http://unsettledrover.com/2015/08/no...atwick-to-lax/