I do not ship very much, and I never got too much supports, so I'll just have a teeny tiny list below.
Eliwood X Ninian (Because of course I do.)
Hector X Lyn (This is the one that seems like that it would fit the most.)
Lyn X Kent (Second best after Hector X Lyn, and I just like this ship, but I don't know what to say about it.)
Nino X Jaffar (Their conversations were just heartwarming, despite some of the cheese factor.)
FE 7 Karel X his Wo Dao (It was kinda necessary to ship. Too bad that there's more than one Wo Dao that exists.)