Angell moved to Los Angeles in 1977. His first script was sold to the producers of the Annie Flynn series. Five years later, he sold his second script to Archie Bunker's Place. In 1983, he joined Cheers as a staff Writer. In 1985, Angell joined forces with Peter Casey and David Lee as Cheers supervising producers/writers. The trio received 37 Emmy Award nominations and won 24 Emmy Awards, including the above-mentioned for Frasier, as well as an Outstanding Comedy Series Emmy for Cheers, in 1989, which Angell, Casey, Lee and the series' other producers shared, and Outstanding Writing/Comedy Emmy for Cheers, which Angell received in 1984. After working together as producers on Cheers, Angell, Casey and Lee formed Grub Street Productions. In 1990, they created and executive-produced the comedy series Wings.