Upper Saddle River closes today https://www.usrpd.net/wp-content/uploads/2022/10/Job-Posting-Upper-Saddle-River.pdf

Department Of the Interior - Park Police https://www.usajobs.gov/Search/Results?j=0083&d=IN&hp=public&p=1

Rutgers University Police Department https://ipo.rutgers.edu/publicsafety/rupd-recruitment

Go local.
The big sites that list lots of jobs can be nice, but actually looking at each department can also be helpful.

In Hudson County, the Prosecutor's Office doesn't hire from civil service lists, and I don't think Secaucus PD does either.
If you can get into any department in a civilian position, that may help your application later on, too.