Some of LaserLlama's work touches on this. They've done some class overhauls, and a lot of their martial options basically get a variant of Battlemaster maneuvers as the unifying martial mechanic, with different classes getting different maneuvers. Some of the options for Fighters essentially replicate spells that recharge on a short rest—such as spending a die to non-magically gain the benefits of Haste—and may require concentration.

Other 'maneuvers' don't, but they generally don't have as much impact, since they're not concerned with the risk/reward aspect of managing concentration