Another type of containers I saw used for bonsai is Jaipur Blue Pottery (see pictures below). They are low-fired pots made of white clay and decorated predominantly with cobalt and copper oxides. If someone made them in stoneware and added feet, they would make a beautiful native style of bonsai pots.
Most commonly bonsai and bonsai material are grown in terracotta pots. They are hand-made, unglazed, low-fired flower pots, which sometimes come as shallow planters without feet. They are very unpretentious and sometimes slightly crooked. Old terracotta pots develop a patina of dirt and algae and can look quite wabi sabi (see image below).