There are many great schools in LA, but geographically, the LA metro area is huge. I believe every pocket has it's good schools, though depending on where your job is. I'm assuming you're leaning more toward public vs. private.
In the Valley, I would say Granada Hills/Encino, and on the other side, Calabasas/Thousand Oaks.
Immediately in LA, I would say Palisades, Santa Monica, or Beverly Hills.
San Gabriel Valley, all of them, really (Temple City, San Gabriel, Gabrelino) but specifically San Marino, South Pasadena, and Arcadia schools are well known.
South Bay, I would say Palos Verdes, and most of Torrance.
South LA County, Cerritos are known for their EXCELLENT public school system! (I'm a proud product!)
Anyhow, I could go on and on, but these are my suggestions. If you need any assistance, I would be glad to help and I really cover a big area of geography in my expertise.
Rodeo Realty BH