my favorite non-leo ship has got to be wata/tomo!!!! (for information i say ship names in whatever order comes to my mind but i'm not usually one for fixed dynamics so you can apply a reverse arrow in all ships i'll name :>)

I adore wataru and tomoya for many reasons, the main one being that after binging most (all?) stories related to them i've come to the conclusion that i basically think of them as a kind of soulmates. not necessarily romantic ones though, and it's a ship i don't think of in sexual terms much at all (though i believe in tomoya getting an accidental boner over wataru at least once (1) and embarrassing wet dreams or stuff lmao). Their relationship doesn't need to be explicitedly romantic to me; i adore their dynamic and they make me extremely emotional in their canon stories. Any twist on that is a good bonus, but just the thought of canon makes me feel lovey-dovey <3

Speaking of soulmates, I also really like Nagisa/Hiyori! DEFINITELY soulmates to me. Once again, whether it's romantic or platonic doesn't factor in my enjoyment of the ship, I just like everything that focuses on them as a "do not separate" duo. I don't think of them much outside of canon but i LOVE canon for them.

Other than eileo and watatomo though, my biggest ship has to be eitori? Tori is a character i've really grown to adore, and his love for eichi feels me with so much bittersweetness. Eichi can be awful to Tori, and I really hope Yuzuru punches him for that someday, but if he was less of an idiot he has the potential to make Tori the happiest boy ever, and there is just something so special and dear about their dynamic to me. Tori maturing and questioning his love for Eichi but never outgrowing it is a tender spot for me. Also, in terms of canon, I think that if Eichi managed to make gay marriage legal (you know he would), I TRULY believe he still wouldn't break off the engagment to the Himemiya family, because he's too business-focused for his own good + wouldn't pull a dirty move on Tori's family, BUT he would definitely ask to marry Tori instead. I don't know how I can explain it but in my mind Eitori is therefore the closest to canon ship we can ever get. Yes i'm delusional. no regrets. Eichi can slut around all he wants but when he marries Tori he'll be a good husband I can make it work (<even more delusional)

Other than these, I like Yuzuru/Ibara bc Ibara is secretly one of my faves and I want them to have too much unresolved sexual tension in Niki's kitchen circle activities (+ I want to see more of Yuzuru's unhinged side); Yuzutori is really cute; Rinne/Hiiro is unironically the first ship I loved in enstars bc i'm a brocon freak (but my thoughts on them are more "wow! imagine all the fucked up potential of their childhood and how rinne leaving fucked up hiiro!" without them being necessarily a ship as in romantic+sexual combo) and hmmmmmmmmmmm gotta admit a strange soft spot for shunazu as i almost was an exvalk-p before i read checkmate and leo took over my entire brain. i think shunazu are the WORST match in enstars, they are NOT compatible. but i want to see the trainwreck. oh i'm been rotating the thought of nazutomo in my brain lately and i like it a lot more than i thought so i should mention them too.

As for ships I dislike, I can't say I have any that comes to mind? There are characters I don't care much about and therefore don't ship much, and some ships I like more than others, but dislike isn't a word I'd employ easily. The two ships I have the most ambivalent and contradictory feelings about are izuleo and wataei and that's in part bc they "impede" on my otp (but i've got a thesis in my head on how Actually eileo can still happen even in that context) and because... idk. I just have many mixed feelings! for izuleo it's probably also partly because I've actually written fics about them too and seeing them get waayyy more kudos/hits than my other fics makes me mildly annoyed since I don't consider them half-as-good as most of my other leo-ships fics. For wataei i have zero desire and ambition to write them someday I just Do Not Perceive Them outside of canon.

I hope this long answer satisfies your question! I'm def down to elaborate if you wanna. I can also explain my extremely correct and good leo-ships opinions someday if you ever wanna ask ;3