Aside from checking out schools themselves, there are plenty of ways for you to check out more info. The links below are terrific resources, but keep in mind that many of them are just parts of a larger picture - every school is multi-faceted and can be looked at in a variety of ways.
The Department of Education’s (DOE) website is a good place to start for information about the process: http://schools.nyc.gov/ChoicesEnrollment/High/default.htm
They have a resources page (all High School Directories can be found on this page):
The DOE’s High School Directory is the source of school facts (keep in mind, there have been known to be some errors in the book): http://schools.nyc.gov/NR/rdonlyres/243F4EC2-4ED4-4F1C-8A7D-DF4B8BD14771/0/2018NYCHSDirectoryCitywideENGLISH.pdf
The DOE now has a high school event calendar:
There’s also the NYC School Search at: http://schools.nyc.gov/schoolsearch/
which helps you locate schools by zone, borough, admissions method, and more.
The DOE put together a Schools Quality Report site, that makes it easy to up up stats for each school: https://tools.nycenet.edu/dashboard/
You can look at DOE Quality Reports: http://schools.nyc.gov/Accountability/tools/report/default.htm
You can check out individual school’s Fair Student Funding percentages at: http://schools.nyc.gov/AboutUs/funding/FSFDetail/default.htm
Anecdotal Specialized High School Cut-off Scores: http://www.theschoolboards.com/showthread.php/4215-Specialized-High-School-SHSAT-Cutoff-Scores-for-2017
Helpful and pretty realisitc school reviews (don’t get sucked into the comments):https://insideschools.org/
Subscribe to the DOE Newsletters of your choice (the high school admissions one can be helpful): http://schools.nyc.gov/Subscribe/default.htm
And, you can also be in touch DOE high school experts at: (718) 935-2399 or email HSEnrollment@schools.nyc.gov.