Most building and household debris is fine. The limits come from Florida law and from what the county landfill will take at the gate.
Florida bans rechargeable batteries from the trash. The Florida Department of Environmental Protection says it is illegal to throw away nickel-cadmium or small sealed lead-acid rechargeable batteries, or products that contain them, and that the rule applies to households and businesses alike. They have to be recycled instead.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos all stay out of a standard container. Asbestos is a special case in Sarasota County: it has to be scheduled with the landfill at least a day ahead and is only accepted on weekday mornings and early afternoons. Waste tires are limited too, since the state caps how many you can dispose of each month before you have to register with it.
The county also sorts material more strictly than most people expect. Carpet and padding, furniture, household goods, dirt, fence, vegetation, and land-clearing debris are not counted as construction debris at the landfill, so they are billed at the higher garbage rate even when they come out of a remodel. Clean lumber, drywall, concrete, brick, roofing, windows, and metal are.
If you are unsure about an item, ask your account manager before it goes in the container.