List of NYC parks with dog-friendly areas
This useful page from the New York City Department of Parks & Recreation site lists all of the Parks Departments’ dog-friendly areas in NYC. Scroll down and click on the name of the borough you’re investigating. The site doesn’t provide a lot of information about each location, but there’s enough to know, at least, whether the listing is a dog run or an off-leash area (which in this case means that dogs may be off leash but must be under voice control).