However, we can think about how we might organize galaxies if we *did* have a system:
* Local Group: Our Milky Way is part of a group of about 50 galaxies called the Local Group. So, the next level of organization would be to specify which galaxy within the Local Group we're talking about.
* Virgo Supercluster: The Local Group is a part of the Virgo Supercluster, a massive collection of galaxies. We could then specify which part of the Virgo Supercluster we're interested in.
* Observable Universe: The Virgo Supercluster, and all the other galaxy clusters and superclusters we can observe, are within the observable universe.
So, to answer your question more fully:
* After Milky Way: You'd need to specify the Local Group and then the part of the Virgo Supercluster the Milky Way is in.
* Beyond that: We'd need to specify how far out from the Virgo Supercluster and within the observable universe we're talking about.
Let me know if you want to dive deeper into any of these concepts!