Sure thing–thank you for asking! 
Although on the surface, Le Guin’s science fiction and fantasy is pretty different, there are actually a lot of similarities. No matter what genre she writes in, she has an interest in exploring conflicts between cultures and genders, and in examining (and subverting) the stereotypical ways that “Good VS Evil” as a setup was usually done back in the 60s and prior.
The Hainish cycle (where the majority of her SF writing takes place) doesn’t follow a particular set of characters or plotline like the Earthsea books, but explores different aspects and times of a universe where there is a sort of “United Nations” but of planets and systems, spread out far across space.
This game isn’t anywhere near that SFnal, though! It’s set on a single planet, a post-apocalyptic world where there’s a mix of fantasy and SF genre notes. (Nanotechnology! Gods and spirits! Dead civilizations! etc)
One thing that has always interested me about Le Guin’s SF books and stories is that they don’t usually portray “Technology!” as proof of a superior civilisation, etc. Some of her books, like The Telling, are more or less explicitly anticapitalist (as was Le Guin, in some speeches I have seen of hers!), but even the stories that aren’t often show a pretty troubled relationship between science/technology/capital and explore other ways of being and living in the world.
There is a bit of that here, for sure!
My favourites are The Left Hand of Darkness, The Disposessed (both venerable classics of SF at this point) as well as The Telling, but I also really enjoy her Hainish short stories, which tend to dig into a specific planet and explore some aspect of its society in ways that I never fail to find fascinating. Library of America recently released a collected two-volume set of Hainish Cycle novels, which also collects all the short stories. It’s, uh, expensive (
) but you can probably find it in a library or get it through interlibrary loan!
Le Guin’s Hainish stories play with gender/sexuality as cultural constructs a lot more openly than most of the Earthsea books, as well, and I am always here for that. 
As for Laputa, like a lot of Miyazaki’s films, it hits pretty hard with an anti-war message. Also like others of his films (Nausicaä, for instance), there’s a backdrop with a vanished society that is higher in technology than what people currently have, and trying to reclaim that vanished society’s powers is Very Bad News.
So I guess that’s a bit more easy of an inspiration to explain… lol
(It’s also the general vibe of most of the final fantasy games–especially the ones that came out during the late 80s and early 90s, which made a big impression on me as a Callow Youth!)