Robert Copsey of Digital Spy wrote that the removal of the multi-layered production and "studio trickery" on Believe reveals a "smoother and less [...] babyish vocal than most will be familiar with".

He noted that the "playful side" of Believe is not "well-suited for earnest, stripped-down renderings" and added, "Party anthems like 'Beauty and a Beat' and lines like 'Chillin' by the fire while we eatin' fondue,' from 'Boyfriend,' seem silly when performed with the singer in serious artist mode.

"[4] Jody Rosen of Rolling Stone wrote that as "cash-grab" remix albums go, Believe Acoustic offers a "little added value, for hardcore fans, at least".

According to Rosen, the acoustic versions of "blustery" dance-pop songs like "All Around the World" and "Beauty and a Beat" sound "a tad wan", with "a six-string standing in for the synths and bludgeoning rhythms".

She, however, thought that Bieber "gives the songs his best, and his raspy, soulful vocal tone stands out nicely against the stark musical backdrop".