Originally Posted by skye1

I'd suggest using the "search" function, not only for this forum but for the Los Angeles one as well. You'll find you are in good company as far as people needing ideas for what to do with ___ hours at LAX.

Among them:
If you have access to the AAdmirals Club, then LAX is one of the better ones, IMHO. You can leave your luggage there and grab a shower upon your return from a day in the sand. I've never checked luggage thru LAX, so not sure what the general luggage storage options are.
Grab a taxi over to Manhattan Beach (5-10 minute ride) or any numberof towns near it. Great beach, great beach town, great local Flyertalkers (paging SkiAdcock....) etc.
Public tranport is also just out the door beyond baggage claim...can't recall if it's the Blue Bus or the Green Bus, but it will take you to Venice Beach and/or the Santa Monica Pier in minutes. (great people watching, good place to very affordably rent a bike and go up the Strand, several good food spots, and of course, the sunset over the ocean).
Walk across the street from the airport to In & Out Burgers.
And the list goes on.....