Antonyms for the phrase "more big deal" could include lesser importance, insignificance, triviality, and unimportance. When something is not as significant or important, it can be described as insignificant, trivial, or unimportant. These words suggest that an event or thing doesn't merit much attention or concern. Conversely, something could be described as a "big deal" when it holds significant importance or impact. This phrase suggests that the event or thing in question is of great significance and should be taken seriously. In conclusion, by understanding the antonyms of "more big deal," we can better comprehend situations or events that hold lesser importance.