Re: the idea of getting the same answer to “what makes you unique” - I found that schools don’t always have a lot of info on each other. After all, they have enough to keep track of with their OWN program without following everyone else’s too. 
Suggestions for defining differences between schools
Is there an area (dance, music, acting) that you particularly want to focus on? Check on curriculum there. Some schools level dance and some don’t, some require you to play an instrument or sing in a chorus (common in BM programs since you mentioned that)
Is there an element like showcase or access to industry etc that is very important to you? Check and make sure it’s included. For my D a study abroad option was key so we focused on schools where that is doable.
Are there academic requirements you want to keep/avoid? Some want to avoid math, or go pure conservatory, others want more access to liberal arts classes too- including the opportunity to minor etc.
Hope that helps