Growing up I’d go to Staten Island a lot due to how close it was to my hometown. It wasn’t until I went back as an adult that I realized the uniqueness of this place, the outdated but also artistically beautiful aesthetic of the island, and appreciated it more. Plus the food (lots of diners and Italian food) is great and people watching is also pretty interesting.
The best underground shows you will find will have free pbr and models as far as the eye can see. They are rarely announced, so keep your eyes out for promising openings, especially with Milk Underground coming up.
This is a pro tip, but also a summer tip, take the ferry from Lower Manhattan to Rockaway and spent the day. The beach is great and the area is impossible to gasp that it's 30 min from Manhattan (without traffic) - Eat as many tacos you can, cause it's the best in the state of New York!