The theremin repertoire is quite large. In earlier times, there was a belief that the theremin was only suitable for lyrical, slow melodies or spooky, sci-fi, and psychedelic effects. However, this myth was refuted long ago. The pieces you can play are those you can work out musically. It depends on your musical taste and experience.
The theremin is used in classical, contemporary, jazz, and popular music, as well as in different kinds of experimental art.
Here are some of the most popular works played on the theremin, with the links to the recordings.
Arrangements of classic
Sergei Rachmaninoff – Vocalise
Camille Saint-Saëns – The Swan
Alexander Alyabyev – Nightingall
Johan Sebastian Bach – Air on the G String
Nicolai Rimsky Korsakov – Flight of the Bumblebee
Giacomo Puccini – O Mio Babbino Caro
Popular songs and Jazz standards
Original works written for the theremin
Bohuslav Martinů — Fantasia for theremin, oboe, piano and string quartet
Lera Auerbach – Icarus for theremin and orchestra
Joseph Shillinger – First Airphonic Suite for theremin and orchestra
Anis Fuleihan – Fantasy for Theremin and Orchestra
Kalevi Aho – Concerto for theremin and orchestra
Christopher Tarnov — Theremin Sonata no.1
Percy Grainger Free Music #1 for four theremins
Theatre and films
Lera Auerbach – The Little Mermaid – ballet
Miklos Rozsá – Music for film Spellbound
Howard Shore – music for film Ed Wood
Jim Parker – Music for film Midsummer Murders
Bernard Herrmann – Music for film The Day The Earth Stood Still