Eduardo Rivadavia of AllMusic writes in his review
The phenomenal title track started things off at full throttle, actually challenging the seminal "Highway Star" for the honor of best opener to any Deep Purple album, while showcasing the always impressive drumming of Ian Paice. The fantastic slow-boiling blues of "Mistreated"'s greatness qualifies it for the highest echelons of hard rock achievement, and therefore ranks as an essential item in the discography of any self-respecting music fan.
In 2004 Burn was remastered and released with bonus tracks. "Coronarias Redig" was recorded during the Burn recording sessions, used only as a B-side for the "Might Just Take Your Life" single in 1974. It appears as a bonus track (in remixed form) on the anniversary edition re-release. The 2004 remix version of "Burn" was later used in Guitar Hero: Warriors of Rock.
In 2005 an unauthorised documentary about the album was produced as part of "The Ultimate Critical Review" series. It featured brand new interview with the original Deep Purple Mk III bassist/vocalist Glenn Hughes.
"Might Just Take Your Life", released three days before the album on 12 February, was Deep Purple's first UK single in two years.
Glenn Hughes participated in song-writing, but wasn't given credit due to unexpired contractual obligations. However, the 30th anniversary edition of the album included Hughes in the credits for all the tracks except "Sail Away", "Mistreated", "'A' 200" and the bonus track "Coronarias Redig".