Most desired dps jobs: BRD, DRG, NIN, MCH.
I can't speak for DRG and NIN since I don't play them.

MCH and BRD are almost equal in terms of dps if played very well. However, a poorly played MCH does more dps than a poorly played BRD.

Example to compare their dps:
O4S normal kill:
- MCH dps: 4,376
- BRD dps: 4,224

O4S speed kill:
- MCH dps: 5,097
- BRD dps: 4,897

Whoever has RNG on their side will do better.
You can see from the numbers that their dps is fairly close, with 100-200 difference due to RNG.