General:
* Set - This is a good option if they are a matching set.
* Collection - This works if they are a varied collection.
* Assortment - Similar to collection, but implies more variety.
* Array - This is a good option if they are displayed or arranged in a specific way.
* Stack - This works if they are stacked together.
Descriptive:
* A feast of plates and bowls - This is a poetic option.
* A buffet of plates and bowls - This implies a wide selection.
More specific:
* A service of plates and bowls - This would be used if they are a set for a particular number of people.
Ultimately, the best collective noun will depend on the context and the specific meaning you want to convey.