The Getty Museum in LA is one of the 10 best museums in the world (but hard to get into without advance planning). Getty Villa is also pretty nice, much smaller and on PCH by Malibu, and generally allows out of state visitors instant access (have your passport or non-California driver's license to get in without a reservation). The Disney Hall in downtown LA is one of the world's finest concert halls, and has tours during the day (but really better to see a performance there). Truly astonishing construction and design (e.g. all surfaces are curved, the organ looks like McDonalds french fries and has thousands of pipes -- one of the biggest organs in the world). LA is full of hundreds of surprising features, but they are well hidden and miles away.