What are mystery writer awards called?

There isn't one specific name for mystery writer awards. They are often called:

* Mystery Awards

* Crime Fiction Awards

* Thriller Awards

* Detective Fiction Awards

Some specific awards have unique names, such as:

* Edgar Award (given by the Mystery Writers of America)

* Anthony Award (given by Bouchercon)

* Macavity Award (given by Mystery Readers International)

* Agatha Award (given by Malice Domestic)

The specific name of an award often depends on the organization giving it and the type of mystery fiction it celebrates.