Following graduation, Bybee taught junior high school music for a few years, refining her stage presence before joining the Metropolitan Opera. She sang over 450 performances as a mezzo-soprano with the Met. Ariel also performed several seasons with the San Francisco Opera and with Maestro Maurice Abravanel of the Utah Symphony. She performed all over the world and has also been a featured soloist with the Mormon Tabernacle Choir. Bybee's voice can be heard on Franco Zeffirelli's motion picture version of La Traviata and also on her two solo albums, O Divine Redeemer and Eternal Day.
Starting in 1993, Bybee began teaching private lessons in her New York studio and also taught at the Lee Strasberg Institute and the American Musical and Dramatic Academy. For the ten years following her time in New York, Bybee became the artist-in-residence at the University of Nebraska – Lincoln School of Music and is now a faculty member at the University of Utah's School of Music. In 2012, some of Bybee's students performed songs from Carmen while riding in a carriage in the Days of '47 Parade in Salt Lake City.
In 1994, BYU recognized Bybee's dedication with the Distinguished Service Award.
- The Salt Lake Tribune - Day of '47 Parade Preview: floats, bands, and operatic arias (23 July 2012)
- LDS Church News - Former Metropolitan Opera soprano Ariel Bybee is to be among performers at Church History Museum's "Music for an Autumn Evening" (20 Oct. 2009)
- BYU Magazine - Encyclopedia of Musical Alumni (28 December 2007)