Amongst his best performances on record were Il matrimonio segreto, Il barbiere di Siviglia, Don Pasquale, Un ballo in maschera, Otello, and Falstaff.
His recordings of Gluck's Paride ed Elena (1968) and of Prokofiev's Alexander Nevsky (1954) display Rossi as an unquestionably great conductor whose styles in a 1770 German masterpiece as well as in a 20th-Century Russian masterpiece are remarkable for avoiding any distinctively "Italianate" or otherwise inauthentic stylistic tendencies. In other words, the range of Rossi's musical sympathies was extraordinary. He was certainly one of the least-known of the great orchestral conductors of the 20th Century, one of the very few conductors who sounded authentically Gluckian when performing Gluck, just as much as he sounded authentically Verdian when performing Verdi. Achieving excellence across such a disparate repertory is rare even for great conductors, most of whom are stylistically authentic only in the music of a few periods, or a few nationalities (usually their own). For sheer universality, Rossi had few if any equals..