BBC Symphony Orchestra, which bid him a fond farewell playing his Symphony in Five Movements and his Madrigal Suite.
Stockholm Philharmonic Orchestra, with which he recorded his Symphony No. 1 and his Symphony No. 2, "Querela Pacis" on the BIS label. He took that orchestra on its first international tours.
He made his first recording with the London Philharmonic Orchestra for the recording label His Master's Voice. This was later transferred to RCA Records with whom HMV were for some time associated. Over the course of his career Doráti made over 600 recordings. With the Philharmonia Hungarica, Doráti was the second conductor to record the complete symphonies of Joseph Haydn. He also recorded an unprecedented cycle of Haydn's operas and Ottorino Respighi's Ancient Dances and Airs for Lute, Suites 1, 2 and 3 Doráti became especially well known for his recordings of Tchaikovsky's music. He was the first conductor to record all three of Tchaikovsky's ballets - Swan Lake, The Sleeping Beauty and The Nutcracker - complete. The albums were recorded in mono in 1954 and 1955, for Mercury Records, with the Minneapolis Symphony Orchestra, as part of their famous "Living Presence" series. All three ballets were at first issued separately, but were later re-issued in a 6-LP set. Dorati never re-recorded Swan Lake, but he did make a stereo recording of The Sleeping Beauty with the Concertgebouw Orchestra of Amsterdam for Philips Classics Records, and two complete recordings in stereo of "The Nutcracker", one with the London Symphony Orchestra, and the other with the Concertgebouw Orchestra for Philips - all this within a span of about twenty-seven years. He also recorded all four of Tchaikovsky's orchestral suites with the New Philharmonia Orchestra, and he was the first conductor to make a recording of Tchaikovsky's "1812" Overture with real cannons, brass band, and church bells, first in mono in 1954 and then in stereo in 1958. Both the mono and stereo "1812" versions sold over one million copies, and awarded a gold disc by the RIAA. He also recorded all six of Tchaikovsky's symphonies with the London Symphony Orchestra. Other prominent composers in Doráti's recording career are Béla Bartók and Igor Stravinsky. His comprehensive series of Bartók's orchestral works for Mercury have been brought together on a 5-CD set. He also made the first stereo recording of Léo Delibes' Coppélia, with the Minneapolis Symphony Orchestra. An album set of Richard Wagner's opera The Flying Dutchman is also among Doráti's more popular recordings. In 1969 he made the world premiere recording of Sibelius's tone poem Luonnotar, with Gwyneth Jones as soprano soloist. In 1973 he conducted the world premiere recording of Max Bruch's Concerto for Two Pianos and Orchestra, which was written in 1912 but only rediscovered in 1971. In 1969 with the Stockholm Philharmonic he conducted the first recording of the Symphony No. 7 of Swedish composer Allan Pettersson. He lived to make digital recordings, for English Decca Records, with the Detroit Symphony Orchestra, the Royal Concertgebouw Orchestra and the Royal Philharmonic Orchestra. One of these, the recording of Stravinsky's Le Sacre du Printemps with the Detroit Symphony Orchestra, received the coveted French award Grand Prix du Disque.