1. There's a lot to imagine, but a short list for me is oral with MC gripping Asterion's horns, doggy style with Asterion bottoming, cow girl with MC bottoming, and missionary with Asterion topping.
2. Tugging Asterion's tail or nose ring if he's wearing it. Another brushing scene but Mc brushing lower and lower. Horny one liners, like complimenting Asterion's fingering technique when he plays his lyre, though that might be more Luke's thing than MC.
3. Asterion throwing his weight around MC, like picking him up, dragging his through the hotel, or pinning him down/to a wall. When he does that one smoldering stare too, that alone works like a charm.
4. A movie theater would be a really fun and romantic project, a screening room for a couple dozen people, and as the movie runs Asterion and MC hold hands in the dark... Or an observatory on top of the hotel, so Luke can map the stars, but afterwards MC and Asterion have a passionate moment under the stars. An art studio where everyone can workshop and create but also MC and Asterion can mess around. Having a project that's only available to your chose background in a cool idea and a lot can come from that.
5. Maybe some butt slapping, or rougher sex. That as far as I'd go.
6. MC giving "orders" for Asterion to pose for him (maybe if MC has the Arts background he'd draw him in lewd positions). Touching or groping that minotaur in public but just out of sight of other guests, the risk of getting caught. Maybe MC could conjure up sextoys for Asterion and just leave them in his room.
7. MC pampering the minotaur, brushing and rubbing oils in his fur, massaging his legs and hooves, feeding him meals that MC cooked. Showering him with compliments to his size, scent, warmth, etc.
8. Maybe role reversal where he's the "master" and MC is the "prisoner" and he'll "treat you the way you treat me" role play. Asterion is a bottom [certainly] and loves all things related to "serving" the MC but I think he REALLY wants TO WANT to top MC but needs encouragement to get there. He likes wrestling and it seems that would be part of the foreplay to him. It's my understanding that Asterion is most likely a virgin (unless things happened between him and childhood friend Phoenes) so I'm not sure if HE really knows what he wants aside from pleasing MC, who conversely just wants to please Asterion.
I'm really excited to see what happens between Asterion and MC, the art and story of this game are amazing! Can't wait to fuck the minotaur!