The academy I went to was in NJ but it wasn't one specific city's academy. Places like Newark, NJ and possibly Trenton(not sure where else off the top of my head) have their own but for the most part NJ has only a handful of academies that dot the state. Then when a department is hiring, they'll send their recruits to wherever is about to start a class (if they don't already have one academy that they prefer)
My academy was basically set up like a school. Classrooms, cafeteria, gym, weight room, locker rooms, training specifid rooms such as one that looked like an intake room, there was one with a prison cell to practice extractions(for corrections classes), a room with the driving simulator, firearms simulator, then outside there's often a range unless they share one, a track/athletic field, a garage for the academy cars and then the administrative offices.
Some academies have their recruits sleep there so if that was the case there would be barracks and a larger kitchen area.
The person for us who was in charge was the Academy Director although he was more of a police politician. We only saw him like 4 times maybe. I'm not even sure that he was ever a cop. I think he was with the prosecutor's office. The assistant director is who we saw most often and who ran the day to day(he was a retired chief) then each class or group of however many recruits had another staff member in charge of them(a retired Stg. for my class. Corrections had a retired Captain). Then below him was the head drill instructor(another retired Sgt.)
Classes themselves were taught by a multitude of officers. We had 1-2 different officers per day depending on what the class was. Usually it's something that they specialize in. For example we had like 11 classes on report writing and that was taught by a local officer is is known country wide for his articles and classes on report writing. PT was taught by pretty much whatever officer felt like showing up that day(we usually had around 8-12 per day with around 15 showing up for the first 2-3 months... it kind of tapers off towards the end) We also had some civilian instructors who came in occasionally.
Types of classes... tons of stuff....
drug recognition
domestic violence
2c (NJ law)
Title 39 (NJ MV law)
gangs
MV stops
High Risk MV stops
Nighttime MV stops
Spanish for law enforcement
ICS(Incident Command System)
Domestic Terrorism
Active shooters
building searches
There are like 8 million more that of course I can't think of off the top of my head. All NJ police academies last 6 months which is on the high end. We had a few guys go out of state right out of the academy and they were jokingly told they were overqualified. We had one guy who had almost triple the number of hours required by the out of state dpt that hired him.
Exercises varied. Every day we ran. We ran A LOT. Based on everything I've ever heard we ran a hell of a lot more than the rest of the country does. Being in the advanced group I got to run even more than the rest of the class. (that might be something you'd like the know. Based on our initial Physical Fitness test they grouped us based on our running. Beginner, intermediate, advanced. I think we only had 8 for advanced because you needed a 10minute 1.5 mile time(I was 9:30) and this was after all of the other PT test stuff like pushups, situps, pullups, broad jump and agility run.
After the run on Monday Wednesday and Friday every group would merge and we'd do sprints. Then we'd do calisthenics...pushups, situps, pullups, squat thrusts, jumping jacks, etc etc. Sometimes we'd also do circuit training with like 15 different basic exercises.
Then on Tuesdays and Thursdays we'd do defensive tactics (DT) That's the wrestling, fighting, handcuffing stuff.
After the PT or DT we would shower, have a 5 minute food break and then go to class until lunch. After lunch it was class again and then every day before going home we would clean the entire academy.
1) you can, state laws permitting, attend a police academy with open enrollment. You have to pay for that yourself, you are not a sworn LEO after you graduate and you still have to try and get hired by a police department after you've finished the program to become an actual cop. It's supposed to make you a more attractive candidate for hire.
This is what I did. In NJ it is called Alternate Route and is now the standard way to become a cop. It saves the town the 6k that it would cost to train you. Then after graduation I was "picked up" by a dpt.
In N it's still just as hard to get into the Alternate route program though. They only take a limited number of them per class. Currently it can only be 1/2 the number of people hired by departments already. I was one of 25 alt rts and we had over 500 people apply for the program. That's not something you'd see in a department like NYC though which is what you seem to be looking for.