My kids are old enough to start having responsibilities that they tackle independently, but they don't always do it right the first time...or the second...or the third. Much of the time their chores still need close supervision and I need to check to make sure that their interpretation of having done the job is consistent with mine.
Over the long holiday weekend we took the old chore of clearing their place when a meal was done and we added to it and I have been very pleasantly surprised!
They call it their mealtime chore. My younger child's job is to make sure that the table is clear. My oldest is responsible for clearing her spot and once the table is clear, she wipes it down and sweeps. They have embraced this and even remembered to do their mealtime chore when they're done eating an after school snack. Hopefully this continues and will rub off a little on their rooms and the playroom.