The global bacteriophage population is large, dynamic, old, and highly diverse genetically. Many phages are tailed and contain double-stranded DNA, but these remain poorly characterized genomically. A collection of over 1,000 phages infecting Mycobacterium smegmatis reveals the diversity of phages of a common bacterial host, but their relationships to phages of phylogenetically proximal hosts are not known. Comparative sequence analysis of 79 phages isolated on Gordonia shows these also to be diverse and that the phages can be grouped into 14 clusters of related genomes, with an additional 14 phages that are “singletons” with no closely related genomes. One group of six phages is closely related to Cluster A mycobacteriophages, but the other Gordonia phages are distant relatives and share only 10% of their genes with the mycobacteriophages. The Gordonia phage genomes vary in genome length (17.1 to 103.4 kb), percentage of GC content (47 to 68.8%), and genome architecture and contain a variety of features not seen in other phage genomes. Like the mycobacteriophages, the highly mosaic Gordonia phages demonstrate a spectrum of genetic relationships. We show this is a general property of bacteriophages and suggest that any barriers to genetic exchange are soft and readily violable.