Prosthetic heart valves are described herein that can provide clearance to the left ventricle outflow tract (LVOT), reduce the possibility of undesirable outflow gradients, and/or limit or prevent LVOT obstructions when implanted in the heart. In some embodiments, a prosthetic heart valve can include an outer frame having a cuff portion that is disposed at an angle (e.g., 80 degrees) relative to the vertical axis of a body portion of the outer frame, so that the prosthetic valve can seat securely in the annulus while not obstructing the ventricular outflow tract of the heart. In some embodiments, a prosthetic heart valve can alternatively, or additionally, include subvalvular components having a short profile, such that the prosthetic valve can seat securely in the annulus while not obstructing the ventricular outflow tract of the heart.