Central Library (reviews): Tours of art and architecture within the library available afternoons or in self-guided form. Located downtown between 7th Street/Metro Center and Pershing Square Metro stations.
Felix in Hollywood Tours (reviews): Guided one mile walking tour of old Hollywood. $30, afternoons daily, tickets available online. Tour starts two blocks south of Hollywood/Vine Metro station.
Getty Museum (reviews): Art museum. The architectural tour and garden tour sound more interesting than the collection itself. Free admission, closed Mondays. Located between Brentwood and Bel Air west of Los Angeles.
Getty Villa: Art museum. This second Getty campus focuses on ancient Greece and Rome and overlooks the Pacific. Again the architectural and garden tours sound more interesting than the collection, particularly the culinary garden tour offered on Saturdays. Free admission, ticket required, closed Tuesdays. Located between Santa Monica and Malibu northwest of Los Angeles.
Griffith Observatory (reviews): Astronomy center located in Griffith Park. Free public telescopes are available on clear evenings. Closed Mondays and Tuesdays, free admission, accessible via shuttle from Vermont/Sunset Metro station.
Griffith Park (reviews): Largest municipal park in the country. While there's an orienteering meet Sunday morning, we're likely better off focusing on the observatory and passing by the park.
Hollyhock House: A Frank Lloyd Wright home. Tours available if not closed for construction. Located .25 miles from Vermont/Sunset Metro. The Ennis House is located about a mile north near Griffith Park.
Hollywood Bowl (reviews): Iconic amphitheater. Museum and interpretive grounds walk available daily. Free admission. Located 1 mile north of Hollywood/Highland Metro station.