Position of the patient should be as described except:
As the position described in the question are correct with respect to the surgery except for TVS.
In TVS, the position is dorsal with legs drawn up and not lithotomy Full bladder may or may not be required.
Diagnostic laparoscopy - Trendelenburg with about 30° tilt
Colposcopy -Lithotomy
Transvaginal sonography in gynecology - Lithotomy with full bladder
Hysteroscopy - Lithotomy