Haptic actuator including flexure bearing having flexible arm including a bend coupling anchor members and related methods

A haptic actuator may include a housing, at least one coil carried by the housing, and a field member having opposing first and second sides. The haptic actuator may also include a respective flexure bearing mounting each of the first and second sides of the field member to be reciprocally movable within the housing responsive to the at least one coil. Each flexure bearing may include a first anchor member coupled to an adjacent portion of the housing, a second anchor member coupled to an adjacent side of the field member, and a first flexible arm coupling the first and second anchor members together and having at least one bend therein.