I don't know why I didn't think of this earlier but here I made a Spotify collaboration list! The only rules are 1) don't remove somebody else's song and 2) don't spam-add songs.
Really didn't know how to word this. All I know is that I've been completely in love with The Shelter of My Love by Astropol. I'm looking for some more alternative, dream-like, cinematic, emotionally intense songs. Songs that make you have flashbacks of things you never experienced. Songs that make you lose yourself before the voice of the artist jolts you awake. Songs that sound like how perpetual fogs and inevitable spirals feel.
I'm not sure what to call this specific genre, either. What the hell is shoegaze, anyway?
I concur with those Beach House suggestions and add maybe EMA, Slowdive and possibly Cocteau Twins and Piano Magic. Maybe even the work of Brian Eno in Another Green World?
Oh, and by the way, "shoegaze" is nothing more than a journalistic name to group all bands in the popular musical scene that made a heavy use of pedals to distort or generally modify their guitar sound. They spent so much time watching at their pedals in contrast of earlier guitar players, that they looked like they were gazing at their shoes.