From a utility standpoint, Monk is much better than Dragoon. Dragon Kick is so good in FCoB that Monk is usually regarded as the best melee DPS for FCoB . Dragoon really only shines when there is a Bard in the party. Otherwise, groups are better off with a Ninja. Fortunately for Dragoon though, Bards are pretty close to required for FCoB so they still can do well.

My static runs: MNK, DRG, BLM, BRD, which is very common these days. Subbing out the DRG for a NIN is also very common due to NIN being more well rounded on the utility front.