The ensemble has also revived lesser-known Handel operas, such as Teseo, Amadigi, Riccardo Primo and Ariodante, as well as several operas by Christoph Willibald Gluck including Armide (at the Centre de Musique Baroque de Versailles), Alceste and Iphigénie en Tauride (at the English Bach Festival at the Royal Opera House, Covent Garden).
He conducted Mozart's Idomeneo in 1996 at the Opéra National de Paris and debuted his Die Entführung aus dem Serail at the Salzburg Festival.
He has since conducted Mozart's Le Nozze di Figaro at the Festival d'Aix-en-Provence and Mitridate, re di Ponto at the Salzburg Festival, Handel's Giulio Cesare in Amsterdam, Paris and Zürich (with Cecilia Bartoli) and his Il Trionfo del Tempo e del Disinganno in Zürich, Donizetti's La Favorite in Zürich, and Gluck's Iphigénie en Tauride, among others.
He has also performed and recorded critically acclaimed works by Jacques Offenbach: Orphée aux Enfers, La belle Hélène and La Grande-Duchesse de Gérolstein, along with the Concerto militaire for cello and orchestra in G, with Jérôme Pernoo (cello).
As well as Les Musiciens du Louvre, Minkowski is active in the Mahler Chamber Orchestra, the Berlin Philharmonic, Orchestre de Paris, the Los Angeles Philharmonic, the Mozarteum Salzburg and the Staatskapelle Dresden.