No matter how mature and independent your child may seem to be they need ongoing support and guidance to become an independent, responsible adult
Make it clear that you will give more freedom when they prove they can make good decisions. This can be adapted to suit any age really. For me, our eight-year-old would like to walk to the local shop. He knows he must prove he is responsible enough when crossing the road at all times before we will even consider it. For older teens coming home at an agreed time is a place to start thinking of maybe staying out a little later etc.
Chores are an excellent way to give your child some responsibility. Again, this can be tailored to age. Age appropriately, chores outside of the home can also teach your child a lot about responsibility. Helping out in a local charity or a local shelter can not only help them learn to be responsible it will also teach them to be humble and kind.
An important lesson for a child of any age is about consequences. It is also why it is so important from early on to follow through on any ultimatum you may give your child. It teaches them that every action has a consequence, something they will learn more and more about as they become teenagers and then young adults.