At certain times in the year you can go swimming in the Pacific Ocean, drive about 4 hours and then go skiing. There are lots of places to go in LA, (I don't count Disneyland, Knotts Berry Farm, or Magic Mountain.)
We have some wonderful museums - the LA County Buseum, Museum of Tolerance, Museum of Science and Art, and the Huntingoton Hartford museums. There is also the Peterson museum which has all types of cars, trucks, motorcycles as well as gas stations, auto showrooms, etc. from the early 1900's to present.
If you like high end shopping there's Rodeo Drive and the adjoining streets, but there are also places to find good bargains.
One can drive north through Malibu and beyond, into horse country, or south to San Diego, about a 2 1/2 - 3 hr drive, depending on traffic.
Many of the movie theatres here are first run - i.e., when a movie opens, it will do so in LA, NY, and one or two other large cities before going wide.
There are restaurants that serve food from all over the world - you can eat in a different "country" every night. We also have wonderful theatre - sometimes a play will open in LA before going to Broadway. The LA Philharmonic is first rate, as is the Hollywood Bowl in the summer. Of couse there are also rock concerts by the top name artists.
The only down side I can think of (and I'm sure most Angelinos would agree) is the traffic.The freeways are almost crowded - sort of 24/7 rush hour and the suface streets can be the same. If there is an accident on one of the freeways, then all I suggest you pack a lunch.
By the way, it is now illegal to hold your cell phone in CA -it's hands-free only so you will need a bluetooth device if you wish to call someone.