Ships that you currently like a lot. (They don’t have to be OTPs because not everyone has OTPs.) Friendships, pairings, threesomes, etc. are allowed.
I think I’ve already mentioned that my favorite OT3 is the Ninth Doctor paired with Rose Tyler and Jack Harkness. I’ve also mentioned the (possibly) nonhuman triio of Steel, Sapphire, and Silver.
I also like the relationship between three main characters in the “Ingress” anime that aired on Netflix back in 2019; Makoto Midorikawa, Sarah Coppola, and Jack (another Jack!) Norman. But since I’ve only watched the series once, and since I think really liking any kind of relationship, platonic or otherwise, requires knowing more about the individuals, I’ll leave that one until I know it a little better.
Going back to Doctor Who, I love River Song, and her relationship with the Eleventh and Twelfth Doctor. Apart from the Doctor’s relationship with the TARDIS, which is alien and wonderful and probably requires an entire post all by itself, since he and She have the most intimate and long-running friendship and love, River’s connection with the Doctor is, for me, the second-most intimate one.
Their relationship, which I think is hugely enabled by River’s love of the TARDIS, lacks a great deal of the power imbalances that makes many of the Doctor’s other relationships a bit problematic. She is, it is hinted, at least partly Gallifreyan, brilliant, brave, incorrigible and devoted to the Doctor.
(I include my Nine/Rose/Jack OT3 in that potentially problematic category; still, good fic can explain it away explore it in ways that give Rose and Jack more agency. I know I had to address it in at least a couple of my own fics.)
I also love the time-scrambled relationship River has with her parents, Amy Pond and Rory Williams. There’s a sense of longing, and the understanding of taking and giving what you can to people you love, even when you can’t give what you wish you’d been able to.
I love so many friendships and relationships In “The Goblin Emperor”, which I think is really All. About. Relationships.
I love the ones that Maia, a young, unexpected, unprepared, and initially despised emperor, forges with people around him. They don’t expect to have any kind of relationship with him — he’s the emperor, after all, and they are his subordinates — but his intelligence, thoughtfulness, bravery and simple goodness, and his determination not to be the kind of emperor his father was, break down those barriers.
He makes mistakes, and he understands that he can’t have the kind of friendships other people who aren’t the emperor can have; then again, as he says, he never had that kind of friendship.
I just love Maia, and the particular kinds of friendships he builds with his aide de camp Csevet; his noecharei Cala Athmaza and Deret Beshelar; Csethiro Ceredin, the smart and observant young noblewoman who will be his empress; Thara Celehar, his anguished but determined Witness for the Dead; and all the servants and non-royals who come to love Maia.
Yes, I am rereading it right now, why do you ask?
And finally, the relationship between Shen Wei and Zhao Yunlan in Guardian. But I’ve gone on about them recently, so I won’t bore you further about them.
ETA: I forgot - and how could I - how much I adore every relationship the Twelfth Doctor has! His care for Bill, his complicated and loving relationship with the delightful and delightfully cranky Clara! (Her crankiness and his blend beautifully, and tragically.).