Making a game of something can often involve teasing, mocking, or joking around with someone or something, possibly at their expense. Antonyms for this phrase may include taking things seriously, showing respect, or approaching things in a mature and responsible manner. Other antonyms could include being sensitive, empathetic, or understanding, rather than using humor or mockery to cope with a situation. Ultimately, the use of antonyms for "make game of" depends on the context in which it is being used and the desired tone or approach in a given situation.