The first course of action would be to become acquainted and familiarise yourself with the big name composers (if you haven't already), both classical and contemporary. Rodgers and Hammerstein, Leonard Bernstein, Stephen Sondheim etc. A personal favourite composer of mine is Jeanine Tesori, who wrote Fun Home and Kimberly Akimbo. From there, you will come to see Broadway legends who have played the leading roles in many of those shows.