On the Town (Broadway Revival, 2014): Tony Yazbeck (Gabey), Clyde Alves (Ozzie), and Jay Armstrong Johnson (Chip) perform "New York, New York" with the rest of the cast at the 2014 Macy's Thanksgiving Day Parade.
Fosse (Original Broadway Production, 1998): Replacement cast member Stephanie Pope and the rest of the cast perform "Bye Bye Blackbird" at the Macy's Thanksgiving Day Parade. (Thanks to Mark for this great clip.)
Hamilton (Broadway Production, 2015): The original cast performs on the Tony Awards. (Note that muskets are not used. This was a choice by the producers out of respect for the Pulse nightclub shooting which happened the night before.)