2.xx BRD still exist, but It's not optimal and old style BRD is currently dead out of "casual" content.

Current BRD has cast bar, and if you don't like cast bars, you have to play a melee job like Dragoon, Ninja or Monk. Every ranged job has cast bar right now, BLM is the most static job, SMN has cast bar but he has some tools to hit and run like Ruin II or Tri-Disaster, but during Bahamut Trance casts are mandatory. BRD casts every skill but BL, Flaming Arrow, Blunt Arrow and Straight Shot under Straighter Shot proc.

If you are searching for Non-Cast job, melee or tank are the only way currently.