Vague language can be removed easily by identifying what exactly you mean by "things" or "society." Find the precise word. Are you really talking about all of society, or a much more specific group of people? When you mention "things" or "aspects," be precise -- what exact things or aspects?
In the sample above, the writer has created a passage that says very little. What endeavors? What abilities? What things? Also, the writer could be much more precise than "activity." The writer is trying to explain how basketball has made her mature and develop, but the reader is left with a painfully fuzzy sense of how she has grown.
Consider the greater clarity of this revised version of the passage: "Not only do I find basketball fun, but the sport has helped me develop my leadership and communication skills, as well as my ability to work with a team. As a result, my love of basketball will make me a better business major."