Framing lumber, drywall, shingles, flooring, trim, cabinets, furniture, and ordinary household junk are all fine.
The real limits come from Michigan's rules about what a landfill may bury. The Michigan Department of Environment, Great Lakes, and Energy sets out those prohibited materials and what to do with each one instead. Grass, leaves, sticks, and other yard clippings have to be composted rather than buried, unless they are diseased or part of an invasive species program. Whole tires can't be buried either. Car batteries go back to the shop that sells you the new one, and used oil has to be recycled in Michigan. Deposit bottles and cans belong back at the store.
Asbestos is a special case. Only some landfills will take it, and only when it has been prepared and shipped a particular way, so it has to be handled by an abatement contractor rather than tossed in a container.
Hazardous waste, liquids, paint, solvents, and fuel stay out of every roll-off. Flint and the county run household hazardous waste collection events during the year for that material.
If something on your list is borderline, raise it with your account manager before loading day.