Dishware is the general term for the dishes used in serving, and eating food, including plates and bowls. Dinnerware is a synonym, especially meaning a set of dishes,  including serving pieces.
The broader term Tableware includes dishes, cutlery, and drinking vessels. Flatware refers to plates and cutlery. Hollowware refers to containers like bowls and pitchers, especially if made of metal.
Modern dishes may be made of earthenware, stoneware, porcelain, glass,

and durable plastics, such as melamine resin. Disposable dishes made of paper or lightweight plastics may be used for casual eating. Historically, dishes have also been made of wood, metals such as pewter, and even animal skulls.

In British English the term crockery is used, with dishaware and dinnerware having no meaning/being unknown.

Types of dishes
These cutleries are usually made from ceramic, metal(stainless steel and mixture of silver), plastic.

• Plates, such as dinner plates, salad plates, or bread plates
• Bowls, including soup bowls, cereal bowls, or dessert bowls
• Teacups, saucers and mugs
• Sugar bowl and creamer
• Serving dishes, including platters, salvers, and trays

Dishware manufacturers include
Baccarat
Christofle
Churchill China
Couzon
Hutschenreuther
Kosta Boda
Lenox
Lladro
Meissen porcelain
Noritake
Queen's
Rosenthal
Royal Copenhagen
Royal Crown Derby
Royal Doulton
Royal Worcester
Spode
Villeroy & Boch
Waterford Crystal
Wedgwood
Dishcloth