Shallan/Kaladin/Adolin: I want all of them to be dating each other. I really love Shalladin and I'm disappointed they didn't get together in OB, while Kaladin and Adolin's mutual antagonism blossoming into friendship in WoR makes for extremely fertile. shipping ground as far as I'm concerned. Shadolin is, for me, the least interesting side of this triangle, but they still had good development in OB and I think they're cute together.
Shallan/Jasnah: My brain is hardwired to seek out F/F ships, and at the moment this one seems the most realistic.
Human/spren ships: These are kind of silly, but I also ship Syl/Shallan and Dalinar/Stormfather. Lots of people in this thread have mentioned Syl/Kaladin, but I don't really see it? I think it's because what makes them a good radiant/spren pair--Syl basically spending 100% of her energy on keeping Kaladin happy--doesn't strike me as the foundation of a healthy romantic relationship. (To each their own, of course.) Also...
^ This. I like this.