while la is not quite a town known for it's musem institutions, i've always thought it's strength lies in the unusual and offbeat nature of the somewhat lesser known collections. like for example the museum of neon art- aka mona.
with an emphasis on vintage signage, there is also a focus on contemporary artists who work with light in various ways. i particularly like the historic signage pieces as they represent the mid century style that to me, really defines la. if you get a chance- check it out.