If you find yourself in Malibu for any reason, stop by the Pepperdine university campus and check out this grass field. If there aren't any lacrosse practices happening, then you can sit and fell like you're on the edge of the world.
I love living in a city where I can easily go hiking during the day and be home by dark. Griffith is just massive and untamed, it has a wild feel about it in places. Views of LA, the ocean, and the Hollywood sign.
Old Bat cave and filming location in grifith park in los angeles. there is a nice hike to get to the cave, and it is a unique history to the place imbued with Hollywood remnants.