Adam Morton of The Age complimented Cornwell's "clipped, dry delivery" on the songs "Under Her Spell" and "Beauty on the Beach", but added that "melodies wane and lyrics become laboured on later tracks" such as "24/7".[4]
Helen Wright of musicOMH described the album as "something like a cross between [Bob] Dylan and Dire Straits at their best ... with a dash of the Traveling Wilburys for good measure." Wright also cautioned, "If you preferred the early Stranglers you'll probably hate this album."[5]
Graham Rockingham The Hamilton Spectator wrote, "Beyond Elysian Fields doesn't contain the in-your-face attitude of Stranglers' songs like "Peaches", "Grip" or "Hangin' Around" ... but it does contain that sardonic sense of humor and unmistakable voice. Cornwell's songwriting ventures into all sorts of unexpected territory."[6]
Beyond Acoustic Fields (2007), is a limited edition CD, only available on tour, performed by Cornwell with acoustic guitar and vocal only and was recorded by Tony Visconti at his New York studio Looking Glass in 2003, to give Visconti an idea of the songs before producing the full album with the band.[1]