I went to see the Melvin Sokolsky: Paris 1963 exhibit in January and loved it! He is one of my favorite fashion photographers, and the Fahey/Klein Gallery did him great justice.
The permanent collection also had a print by Diane Arbus called "Twins." She is the photographer who's inspired me so much that I decided to become a photographer!
This stretch of La Brea has many more art and photography galleries that are worth checking out.