I think that BLM are meant to be the strongest. So yeah, if you want to see big numbers that is the class you are looking for. Dragoons have more survivability than them, though. From my humble/noob experience as DRG, I hit for over 1k of damage only once (although it wasn't luck, it just was hard for me to get the circumstances right) and I know that in order for that to happen I need:
Heavy Thrust, Blood for Blood, Disembowel, Life surge / Internal release, Power surge (if using Jump).
Now, I noticed none of us actually counted Power Surge+Jump as the strongest attack we possess. True, we have Full Thrust with 300 potency while Jump is only 200, but PS actually boosts it up to 300. If you remember that Jumps are not on global cooldown...well, that makes us capable of hitting theoretically speaking two times 300 in a matter of moments. One of them could not crit, but again it's a matter of circumstances. Not on par with BLM, but we can pull our weights.