The antonyms for the word "non-academically" can vary depending on the context in which the word is used. In terms of education, the antonyms could be "academically", "scholastically", or "intellectually". However, if the word is referring to aspects outside of academics, the antonyms could be "professionally", "practically", or "vocationally". Other antonyms may include "athletically", "artistically", "musically", "managerially", "entrepreneurially", or "politically". Essentially, any word that describes a skill or talent that is not directly associated with academic pursuits could be considered an antonym for "non-academically". It is important to consider the context in order to accurately determine the correct antonym.