Most building and household debris is welcome. The limits come from New York State law and from what the county transfer station will take at the gate.
New York bans consumers from putting covered electronics in a landfill, in the trash, or out at the curb. Televisions, computers, monitors, printers and game consoles all fall under that rule, so pull them out before you load. The county takes them free at its main office on Saturdays from April through November.
Hazardous waste, liquids, paint, solvents, fuel and asbestos cannot go in a standard container. The county is blunt about it: no hazardous waste is accepted outside its scheduled collection events.
Ulster County also makes recycling mandatory, and separating out regulated recyclables is treated as a legal duty rather than a suggestion. Bulk loads of tires and equipment tires are refused outright, and single tires, mattresses, propane tanks and refrigerant appliances each carry an extra charge at the scale.
If an item is borderline, ask your account manager before it goes over the rail. That one question can save a rejected load.