You can check out Blipsy's Barcade in Korea town. I went there on a date recently, its basically a decent dive bar with 80s arcade machines and pinball.
There's also a ton of museums in LA, the Getty, the Natural History Museum, the Tar Pits, the Auto Museum, MOCA, LACMA, Museum of Jurassic Technology, Museum of Tolerance, and probably others I have forgotten.
If you get here before summer ends check out the Eat, See, Hear website for a list of outdoor movies. I think these are separate from the movies that play at the Hollywood Forever Cemetery which is also another major attraction. Also I highly suggest checking out the Cinefamily website they do a lot of cool showings of old movies or weird Indie stuff with the directors.
There's about a billion fucking farmers markets. There's also the Night Market which I think is out in Orange County or something.
Or you could just be like me and bum around the beach every weekend.