The job description for 'THE GODFATHER THEME COMPOSER' is fulfilled by the answer to the crossword, which is ROTA. Nino ROTA was an Italian composer who wrote the iconic score for the 1972 film The Godfather. He was a prolific composer, having written music for over 150 films and television series. He was also a professor of composition at the Milan Conservatory and won an Academy Award for his work on The Godfather.