This paper investigates the following present globoidal wormgear drives: (1) original and modified Hindley wormgear drives; (2) Wildhaber worngear drive with inclined plane teeth of wormgear; (3) inclined plane and cone enveloping globoidal wormgear drives; (4) piane, cone and inverted cone enveloping globoidal wormgear drives based on Sakai's theory. Meanwhile, a new approach for generation of Hindley wormgearing, and plane and cone enveloping globoidal woxmgear drives is developed in this paper. Contact lines, dual and single contact ratios, relative curvature radii, meshing angles between tangents of contact lines and relative velocities, and sliding ratios of wormgear tooth surfaces of the above globoidal wormgear drives are studied by computerized simulation for numerical examples.