Stamping across is a phrase that denotes movement. The word stamping refers to a heavy and vigorous action of the foot, while across describes the direction or point of movement. Antonyms for stamping across would include words that describe light and graceful movements or that suggest stillness. Lightly treading, gliding, tiptoeing or stepping lightly could be considered as antonyms for stamping across. Moreover, words like standing still, idle, motionless, or stationary could also be considered antonyms, as they indicate a lack of movement or any form of physical action. In conclusion, antonyms for stamping across are words that suggest gentle, graceful or static movements.