The reputation of Mission Chinese Food is for being cool, weird, and extremely eccentric, which tends to mean that you either love it or hate it (an assessment that is at least somewhat correlated to your personal tolerance for spice).
The rooftop garden at the Metropolitan Museum of Art. The museum floors below are a maze of tremendous art and inspiration, and taking the elevator to the rooftop garden is the icing on the cake. 360' views of verdant green Central Park bordered by cool glass and steel of Manhattan's cityscape in the distance.
This is a hot spot for plant enthusiasts. A recurring L.A. pop-up where the employees can tell you as much or as little as you want to know about cacti. Marco can tell you about the trees. Must visit, but only open April/May - September/October.