PLD is very much a caster, casting Holy Spirit and Clemency from miles away. It's going to lose cast times in L77+ dungeons in 5.0 while under Requiescat but they are still there outside of it, so Clemency will still have cast times.

DRK has spells too but there are no cast times and only Salted Earth and Unmend are ranged, so they aren't really what I'd consider a caster. I really enjoy that their attacks look and are classified as a form of magic on the tooltip though.