Framing, drywall, plaster, flooring, roofing, cabinets, fixtures, furniture and general cleanout debris all load normally here.
Kentucky does not publish a single statewide table of banned materials the way some states do. Instead it controls disposal by the class of landfill a material may go to, and construction and demolition debris is its own class with its own class of landfill. In practice that means the receiving facility makes the call on anything unusual, which is why it pays to ask before you load rather than after.
Berea's own code is firm on one thing: hazardous waste will not be collected or disposed of in the city or on city property, and anything hazardous generated in Berea has to be removed by other approved means. Treat that as covering paint, solvents and thinners, fuel, motor oil, pesticides, pool chemicals, aerosol cans with product left in them, and anything carrying a flammable or toxic label.
Keep tires, propane tanks, batteries, appliances holding refrigerant, electronics and asbestos out of a standard container as well. Any of those can hold up a whole load at the gate. Run questionable items past your account manager and we will tell you where they should go instead.