LOL. Has someone actually tried this?!

This is a good idea IceTrojan, and mbstone has a great list. We also need to add that:

Amtrak is available from BUR but not LAX.

No, you should not use Anaheim as your home base if you honestly plan to see L.A.

If you think you don't need a car, you are wrong. Yes, I know this was said before but it bears repeating.

Yes there are ways to get to LAX via public transit but they are still not viable for most people.

Beaches are west. Downtown is East.