Oh I hear Patina at Disney Hall supposed to be good, and its very chic. Its also expensive, but here is the link.
Well to tell you the truth I hear all of their restaurants are good, and there are several downtown. Cafe Pinot (French/California cusine) was oneo their first ones downtown. Its on the grounds of the Central Library, and the building is all glass for great viewing of the skyscrapers. Anyway all of the restaurants are listed on their website, just choose downtown LA on the site and it will give you a list, and as you clink on each one you can see what they look like inside.
http://www.patinagroup.com/patina/