Standard household and renovation debris is fine. The restrictions come from New Jersey's waste rules, from Bergen County's approved disposal sites, and from the Village's own container rules.
Ridgewood keeps several things out of the trash stream and takes them at its own recycling center instead. Appliances and scrap metal, tires, automobile batteries, electronics including televisions and monitors, mattresses and box springs, rechargeable and button batteries, and cooking oil all go there rather than into a container.
Hazardous material is out everywhere. Paint, solvents, fuel, motor oil, pesticides, pool chemicals and asbestos cannot ride in a roll-off and need separate handling.
The Village also regulates the container itself. It has to stay covered at all times, cannot spill or overflow, and cannot leak liquids or solids, which rules out wet or loose material riding uncovered. If an item has you unsure, ask your account manager before it goes in.