A catheter (10,210) for removing tissue from a body lumen, comprising: an elongate catheter body (12,212) configured for insertion into a body lumen of a subject, the catheter body (12,212) having opposite distal and proximal ends, a longitudinal axis (LA1,LA5) extending between the distal and proximal ends, and an interior passage extending along the longitudinal axis (LA1,LA5); and a cutter (16,216A) located generally at the distal end of the catheter body (12,212), the cutter (16,216) having a proximal end portion, a distal end portion, and a longitudinal axis (LA2,LA5) extending between the proximal and distal end portions, the cutter (16,216) being rotatable relative to the catheter body (12,212) generally about its longitudinal axis (LA2,LA5), the cutter (16,216) including an annular cutting edge (50,250) at the distal end portion of the cutter (16,216) for removing tissue from the body lumen, an axial cavity (52,253) defined by an interior surface of the cutter (16,216) extending proximally from the annular cutting edge (50,250) toward the proximal end portion of the cutter (16,216), and the catheter (10,210) characterized in that the cutter (16,216) includes an eccentric opening (68,263) extending from the central cavity (52,253) through the cutter (16,216) to allow tissue removed from the body lumen by the annular cutting edge (50,250) to pass proximally through the eccentric opening (68,263) toward the interior passage of the catheter body (12,212), wherein the eccentric opening (68,263) is offset from the longitudinal axis (LA2,LA5)of the cutter (16,216), wherein the eccentric opening (68,263) extends at an angle (α1,α3) that is offset relative to the longitudinal axis (LA2,LA5) of the cutter (16,216). an elongate catheter body (12,212) configured for insertion into a body lumen of a subject, the catheter body (12,212) having opposite distal and proximal ends, a longitudinal axis (LA1,LA5) extending between the distal and proximal ends, and an interior passage extending along the longitudinal axis (LA1,LA5); and a cutter (16,216A) located generally at the distal end of the catheter body (12,212), the cutter (16,216) having a proximal end portion, a distal end portion, and a longitudinal axis (LA2,LA5) extending between the proximal and distal end portions, the cutter (16,216) being rotatable relative to the catheter body (12,212) generally about its longitudinal axis (LA2,LA5), the cutter (16,216) including an annular cutting edge (50,250) at the distal end portion of the cutter (16,216) for removing tissue from the body lumen, an axial cavity (52,253) defined by an interior surface of the cutter (16,216) extending proximally from the annular cutting edge (50,250) toward the proximal end portion of the cutter (16,216), and an annular cutting edge (50,250) at the distal end portion of the cutter (16,216) for removing tissue from the body lumen, an axial cavity (52,253) defined by an interior surface of the cutter (16,216) extending proximally from the annular cutting edge (50,250) toward the proximal end portion of the cutter (16,216), and the catheter (10,210) characterized in that the cutter (16,216) includes an eccentric opening (68,263) extending from the central cavity (52,253) through the cutter (16,216) to allow tissue removed from the body lumen by the annular cutting edge (50,250) to pass proximally through the eccentric opening (68,263) toward the interior passage of the catheter body (12,212), wherein the eccentric opening (68,263) is offset from the longitudinal axis (LA2,LA5)of the cutter (16,216), wherein the eccentric opening (68,263) extends at an angle (α1,α3) that is offset relative to the longitudinal axis (LA2,LA5) of the cutter (16,216).