Their first release, Humidity (1993), was decribed by Dave Simpson in Melody Maker "....the beauty of this album. Airy melodies rub up against subsonic bass, aural hallucinogens hide vividly real scenes, and there's always a surprise lurking around the corner."
In Select Magazine Emma Warren described their 1995 release Electric Hush as: "One to file along with Massive Attack's 'Blue Lines', Mr Fingers' 'Classic Fingers' and Marvin Gaye's 'What's Goin' On?' - records that can't fail to make you feel. There's singing from Jake Harries' bass-tone voice, and the summer classic, 'EVA' that re-appropriates saxophones (Lister) away from chatshow intros and back into a glorious self-sufficient shimmer of melody. You'd be hard pressed to find a classier set of tunes, tears and soul-food bass this side of New York. An instant classic."
Richard Dorfmeister describes the Heights of Abraham most recent release, Two Thousand and Six (2006): "Completely underrated downbeat album by Mr. Steven Cobby and friends - highly recommended.."