Top 5 dc romances? Comics only or all media whichever you prefer
Full disclosure: I actually never read comics. Yeah, like all my knowledge about DC stuff is either second hand from trusted friends who have read them or from other DC media. This being said, I actually don't think I find DC to be the place where great romances tailored to my taste lie in waiting. Like, for example, Lois/Clark is IconicTM and I am sure there is some material out there that would really sell the romance to me. But from what I have seen (from Smallville, various Superman movies) they do nothing for me as a concept. I actually complained once about the fact that DC should give their younger generation of heroes some Grand Romances bc the older ones bore me.
Anyway, now let's actually answer the question:
Turner/Duela (Gotham Knights)- Doeyes, my beloved! If there is one thing I can appreciate about the show's cancellation is that it kept the ship perfectly untainted, with s1 canonizing it as Thee Romance for me. Although I doubt it would have been easy to ~hurt this ship even if someone tried (some ships are more ressilient than other and Doeyes has all the igridients to be long lasting.
Dick/Zatanna (Young Justice) - They have so so little material, but what we have is perfect. After s4, I am actually even somewhat hopeful the writers might give the ship another chance.
Bruce/Selina (any Batman live action movie) - I think this is one of the only ships on this list that I would also like in comics. Or at least in some of them. But my appreciation for Bruce/Selina comes from movies. The three iterations I am thinking of (Keaton/Pfeiffer, Bale/Hataway and Pattison/Kravitz) are all wildly different from each other, but I love them all the same. One day I am gonna watch Gotham and fall for Baby Batcat.
Harper/Stephanie (Gotham Knights) - As you can see I really appreciate GK's take on romance LOL. Anyway, they are cute, narratively potent and have great interactions.
Mera/Arthur (DC live action Aquaman's movies and Young Justice) - It was hard to find a couple for this spot because I wanted to keep it to canon couples from media I have actually consumed. Anyway, I found Mera/Arthur super cute in both Momoa's movie and what we have seen of them in Young Justice (where Arthur manipulated a prophecy to give Mera the shiniest crown! truly a Wife GuyTM).
Honorable mentions: Supermartian (if YJ only had s1 they would be top 3), Jason/Mia (not a canon romance but I blame @laufire for my interest in them), Cass/Steph (I blame YOU for this one xD) and Zari/Constantine (it's been so long since I watched Legends of Tomorrow but they were the cutest).