Which term describes a taxonomic group that contains one or more genera?

The term that describes a taxonomic group containing one or more genera is family. In the hierarchy of biological classification, a family encompasses multiple genera that share common characteristics and evolutionary ancestry. For example, the family Felidae includes various genera such as Panthera (which encompasses lions and tigers) and Felis (which includes domestic cats). This classification emphasizes the relationships among different organisms and organizes them into increasingly broader categories as you move up the taxonomic ranks.

The other options represent higher classifications: order is a group of families; phylum is a group of several orders; and kingdom is a larger classification that includes multiple phyla. Thus, a family specifically defines a level in the taxonomic hierarchy that immediately includes genera, making it the correct term for this question.