This invention relates to hinges for mounting a door on a furniture article frame. The hinges include at least a hinge cup member adapted to be affixed to the furniture door and a top hinge arm segment pivotably connected to the hinge cup member and having a top center hole and a top elongated aperture with one end open to the top center hole. Various intermediate hinge arm segments and base hinge arm segments can be used with the top hinge arm segment to allow adjustments to be made in two or three directions. In some embodiments, turning an adjustment screw allows adjustments to be made horizontally from side-to-side so that the desired spacing of the door from opposite sides of the door opening can be set. In some embodiments, turning a cam screw allows adjustments to be made horizontally in-and-out so that the desired alignment of the door with the front face of the furniture article frame can be set. In some embodiments, vertical adjustments can also be made, either by loosening a fastening screw or by turning a cam screw, so that the desired spacing from the top and bottom of the door opening can be set.