My favorite places to watch film and learn in Los Angeles:
LACMA FILM LISTINGS
THE CINEFAMILY
AMERICAN CINEMATHEQUE
AMPAS
If you're an aspiring screenwriter, no matter what level, you must attend The Writers Guild Foundation events, either in person or online. You get invaluable advice and inspiring anecdotes from actual, successful working writers, not gurus or script consultants peddling their services.
ECHO PARK FILM CENTER offers fun classes, services and affordable equipment rentals, among other things.