A medical retrieval basket used for entrapping and extracting objects such as urinary and biliary calculi from the body comprising a handle assembly, a flexible shaft, and a basket. The basket comprises a plurality of outwardly disposed shape memory wires and is bulbous in shape at its distal end. Located at the intersection point of the wires at the distal end of the basket is a hub that restricts the degree of relative movement between the wires. This hub also serves to increase contact points with the object to be retrieved and to stabilize the orientation of the basket wires. The substantially tipless configuration of the distal end of the basket permits the basket to retrieve objects from difficult to reach locations and reduces tissue trauma caused by the basket tip. The basket wires have varying cross sectional shapes and sizes in different sections of the basket to optimize the performance to the needs of each section within the basket. The flexible shaft contains a drive wire that exhibits different flexibilities within the same strand of material by varied cross sectional shapes or diameters. This permits the distal section of the shaft to be more flexible, which reduces the possibility of the device shaft limiting the deflection of a flexible endoscope.