Framing, drywall, roofing, flooring, cabinets, decking, furniture, and ordinary cleanout junk all load fine. The limits come from Michigan's list of material barred from a landfill and from what each receiving site will take.
Michigan's environmental agency publishes that landfill list, and several entries catch home projects. Scrap tires, lead acid batteries, medical waste, and asbestos are all out. Used oil has to be recycled in the state rather than thrown away. Bulk liquids from a business have to be solidified before disposal, and an empty drum has to be crushed or filled before a landfill will bury it. Yard clippings only go to a landfill when they are diseased, infested, or part of an invasive species program.
Hazardous waste in any form stays out of a standard container. That covers paint, solvents, fuel, pool chemicals, pesticides, and aerosols, and it covers them whether the project is a house or a storefront.
Two local limits are worth planning around. The City drop-off site works on a residents' pass and is not open to commercial users, and the county hazardous waste centers serve residents only. So a contractor cannot simply run awkward material over there at the end of the day. When you are unsure about an item, ask your account manager before it rides in the container.