Described herein are atherectomy catheters, systems and methods that include longitudinally displaceable drive shafts that drive actuation of one or more cutters at the distal end of the catheter. The catheters described herein may include one or more imaging sensors for imaging before, during or after cutting tissue. In some variations the imaging sensor may be rotated around the perimeter of the catheter independently of the rotation of the cutter. Also describe herein are imaging catheters that may be used without cutters.