What game are you going to? I'm coming out for both Dallas and SF.
I always fly into LAX and I always rent a car.
Things I've done in and around LA that I thought were worth it:
SoFi tour
Santa Monica Pier
Griffith Observatory
Walk of Fame
Manhattan Beach (I'm a volleyball player: this is kind of a pilgrimage experience)
Venice Beach
Battleship Iowa tour
La Brea Tar Pits
Original Farmer's Market
Hiking (including a hike to the MASH TV site)
Other sports (USC, Kings, Dodgers, etc.)
Six Flags Magic Mountain
Hollywood Bowl
Olvera Street
... and make sure you give yourself time to wander around the tail gate lot before the game!!
Lots of info on Google about these attractions (and others); PM me if you want my personal takes.
AlbaNY_Ram
