Along with lot 59, there are several other places on campus that are worth noting. For one, the fountains over by the business building. This is one of the more well-known areas. But some places that ASU students don't always know about are the secret garden and the secret green house.
The secret garden is a place located inside of McClintock Hall, which is a former residence hall made into classrooms. In order to get there, you have to actually go under the building. It's full of shade and lots of flowers and greenery. It's absolutely beautiful and very tranquil and even has a fire place.
The other place is the Secret Green House, which I haven't had a chance to experience yet (but tried rather hard). It's located on top of the life sciences building. The marvel of the Green House is that you can get an amazing view of the entire campus. Unfortunately, the green house is a tool of biology students which they use for research. Thus, it's not a place you can just get to. You have to find someone with a key. I have yet to see this place personally, but I hope to experience it soon.