1. Downtown/Central Branch
    obviously. hands-down. 630 W 5th St
  2. West Hollywood Branch
    newly renovated, two floors, tennis courts on roof. 625 N San Vicente Blvd
  3. Calabasas Library
    very nice space. far away, but my bro lives there so I visit. 200 Civic Center Way
  4. Beverly Hills Library
    good selection, nice building, coffee shop in library. gets busy. 444 N Rexford Dr
  5. Los Feliz Branch
    small, quiet. 1874 Hillhurst Ave
  6. Melrose/John Fremont Branch
    decent library. 6121 Melrose Ave
  7. Huntington Library
    It's worth going to for the beautiful gardens, art collections, and high tea.
    Suggested by @carolineschwartz
  8. Glendale public library
    Mid century sunken reading zones.
    Suggested by @laure
  9. The one in the philosophy department at USC is stunning.
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    Suggested by @jmc