Okay, so I spent an embarrassing amount of time last year reading through basically every decently tagged Mettaton x Papyrus fic on AO3. The big themes kinda depend on the writer's take on their dynamic, honestly. Some folks lean hard into the celebrity/starstruck fan angle, with Papyrus being this genuinely adoring, sincere supporter who sees the real person behind Mettaton's glamour. That one's sweet, lots of fluff about backstage visits and Papyrus helping Mettaton unwind from the performance high.
Then there's the 'rivals to lovers' strand, which I see less often but can be really fun when done right. They're both so competitive and obsessed with being the best (at entertaining, at cooking spaghetti, you name it), so having that turn into a grudging respect and then more makes sense. I'm less into the AUs that completely change their characters, like high school or coffee shop stuff, but even there the core of 'flamboyant performer meets relentlessly earnest skeleton' seems to stick.
Actually, my favorite niche theme is the 'post-pacifist run' stories where Mettaton's trying to figure out his purpose beyond just being a TV star now that he's free, and Papyrus, who's always had this unshakeable sense of self, ends up guiding him. It's less about romance at the start and more about two very different people finding a weird, solid friendship that deepens. The good ones really get how Papyrus's simplicity is his greatest strength, not a naivete.