Family Drama, Romance, Tragedy, Literary Fiction
Look in the dictionary next to "Family Drama," and you'll probably find a picture of Anna Karenina. This is all about the dramas that families get into, including issues such as adultery, battles over the divorce and child custody, and marriage proposals. And Levin even thinks the family is the basis of all productive life, for crying out loud!
As for romance, Anna Karenina centers around two couples, Anna and Vronsky and Levin and Kitty. Romantic love ain't portrayed as all fun and games... but it is front and center.
And tragedy: well, anything in which a main character is doomed thanks to their own bad behavior and society's cruelty is a tragedy. You'll never look at trains in the same way again; we promise.
Finally, Anna Karenina is an example of literary fiction because it focuses more on style and psychological depth than on fast-paced, action-packed plot. In other words, this isn't a commercial page-turner or pot-boiler. The chapters dealing with Levin's philosophical issues and Anna's emotional disintegration are all signs of literariness.