"Metagenomics" is a good example -- it's the study of a larger assemblage of genomes than just one, usually from an environmental sample of microbes. "Proteiomics" is another, or "transcriptomics". Of course, this can get out of hand (see here).
However, I think the study of genome size (which predates molecular genetics, let alone genomics) deserves a catchy moniker. The problem is, I haven't really come up with one in the past, so I just end up saying "I study the total amount of DNA in different species of animals, which includes genes and all the other sequences, most of which are non-coding and..." -- well, you get the idea.
People like me study entire genomes -- every component included, be it gene or pseudogene or repeat or transposable element. We also are interested, not in a few model organisms, but in everything (people usually stare blankly when, to the question "which animals do you work on?", I reply "all of them").
But what to call such a discipline?
Proposed neologism: "Omnigenomics"(The alternative Greek version, "pangenomics", is already being used and sounds way less cool).
Etymology: Latin "omnis" (all or everything) + genomics (study of genomes)
Sample usage: "What do you do?" / "Omnigenomics" / "What's that?" / "I study the total amount of DNA in different species of animals, which includes genes and all the other sequences, most of which are non-coding and..."