Being an avid fanfic writer in multiple fandoms, I think of ideas for combining them.
Culture shock with some similarities is a big theme in all directions. Analogies between sci-fi tech and fantasy magic are one way to explore this.
Some of my fics have more exposition than others. In crossovers, there’s even more, but important in case a reader is familiar with one fandom but not another.
Absolute monarchy in Game of Thrones, constitutional monarchy in modern Earth and Andalites’ use of the prince title can all be compared to each other.
With adult work and YA lit, one great fanfic opportunity is older-age versions of YA material.
For Animorphs/Hunger Games:
I note the sensitive boy/obviously badass girl similarity between Robias and Everlark.
For Animorphs/Game of Thrones:
British exchange officers fighting with American units against Yeerks could expedite a link between GOT and British royals.
People trained in medieval war might fit a modern war better than modern civilians.