In NJ we have a classification for this called Special Offiers.
Class I Special Officers: typically 80hr academy in basic LE, First Aid, Summons writing, MV Law, Communications, Self-defense, Hand-cuffing. Class I's do not have arrest powers or carry a firearm. They typically only have a set of handcuffs for detention purposes, OC, a Baton, and a Radio. They are basically extra manpower for presence and for parking enforcement, traffic control, beach patrol, etc.
Class II Special Officers: Typically 600+hrs of Academy, same as a Class A (full-time sworn officer). Full LE Powers on-duty and carry firearm on-duty. Off-duty no powers, no off-duty carry. Have to remain under 40hrs a week. Can be used for anything and has no restriction on duty I believe.
All Special officers have to where a Special Police Officer I or Special Police Officer II Patch on right sleeve to denote what they are. Also most Dept's have restriction on the amount of Specials they can employ, exception to this are certain shore towns where the population increases substantially in the summer and more police are needed.
Being a Class II is a great stepping stone to become full-time because it allows the possibility of getting the Academy waived and only having to return to take certain selected classes for remedial/review as decided by the NJ Police Training Commission on a case by case basis.
I currently am a Class II Officer. I have worked in a car, on foot, and on a bike. Been assigned a patrol zone, or an area (Bar) to stay at for police presence throughout my shift. Also been called in to cover shifts with vacancies or for emergencies when more officers are needed.