[1] He has also premiered works written for him by Matthew Aucoin, Paola Prestini, Gregory Spears, Suzanne Farrin, Bernard Rands, Scott Wheeler, Mohammed Fairouz, Steve Mackey, and Nico Muhly.

[13] In April 2024, Opera Philadelphia announced the appointment of Costanzo as its next general director and president, effective 1 June 2024, with an initial contract of three years.

[3][14][15] In 2018 Costanzo made his concert debuts with the London Symphony Orchestra[16][17] and the Berlin Philharmonic in performances of György Ligeti's Le Grand Macabre, conducted by Sir Simon Rattle and directed by Peter Sellars.

[21] Costanzo has also performed with Jordi Savall in Barcelona, Paris, and Versailles,[22] with Ian Bostridge and Julius Drake at the Teatro Real,[23] and the Spoleto Festival USA.

[24] In 2018, Costanzo created an art installation with multimedia fashion and art company Visionaire, producer Cath Brittan, artist George Condo, fashion designer Raf Simons (Chief Creative Officer of Calvin Klein), choreographer Justin Peck, dancers David Hallberg and Patricia Delgado, and other artists including James Ivory, Pix Talarico, Maurizio Catellan, Pierpaolo Ferrari, Mark Romanek, Mickalene Thomas, Daniel Askill, AES+F, and Chen Tianzhuo.

He recently helped create two unique collaborations with Kabuki and Noh actors in a presentation of The Tale of Genji, with sold-out runs in Tokyo and Kyoto.

His has curated and produced two sold-out runs of performances for National Sawdust including Aci, Galatea e Polifemo, and Orphic Moments which traveled to the Salzburger Landestheater, and then Lincoln Center's Rose Theater with MasterVoices.

At Princeton, Costanzo also created a pasticcio about castrati in collaboration with choreographer Karole Armitage and filmmaker James Ivory, which was chronicled by the documentarian Gerardo Puglia.

[26] In 2023, he collaborated with the group Princess Goes, made up of Michael C. Hall, Matt Katz-Bohen and Peter Yanowitz, on the track 'Saving Grace' for their second album 'Come of Age'.

It features backing from Les Violons du Roy under Jonathan Cohen's baton and consists of operatic works by Philip Glass and G.F. Handel.

[31] Costanzo collaborated with cabaret artist Justin Vivian Bond on their show "Only An Octave Apart," which premiered at St. Ann's Warehouse in Brooklyn and went to London in the fall of 2022.