The county landfill publishes a clear list, and it is the list your load has to satisfy.
Muskegon County refuses refrigerators, freezers, air conditioners and dehumidifiers, along with whole tires, lead acid batteries, asbestos, hazardous waste, medical waste, yard waste, deposit beverage containers, used oil, liquids, empty drums, radioactive material and reusable propane tanks. Anyone who brings prohibited material can be turned around with it.
Michigan sets much of that statewide. The state environmental agency keeps grass, leaves, sticks and landscape trimmings out of landfills, allows tires only after they are cut or shredded, and requires bulk liquids from a business to be solidified before disposal.
Paint, solvents, fuel and any other hazardous product should never go in a roll-off container. Deposit cans and bottles are worth returning to a retailer instead.
Mattresses and couches can go in, but each one carries a charge at the scale. Mention them when you book and your account manager will fold the cost into your quote.