Now, you need to visit a few different NPCs to completely change your appearance
The Makeover Mage in the above answer will now only change gender and skin colour
A Hairdresser (one can be found in Falador, by the West Bank) can change your hair style and colour, and beard style and colour for males.
The Tailor in Varrock will change your top and trousers.
The shoe store in Rellekka will change your default boots (the boots you see when you don't have other boots equipped).