[4] Murphy collaborated with Scottish electronic musician Calvin Harris on the songs "Off & On" and "Don't Let It Go to Your Head Boy", which did not make the cut for Overpowered.

During an interview with Popjustice, Harris called Murphy "a bit mental" for not including the songs on the album, while accusing her of "cost[ing] me all sorts of money" during recording.

[5] Murphy and Harris have since resolved their differences, and the song "Off & On" was ultimately recorded by English pop singer Sophie Ellis-Bextor for her 2011 album Make a Scene.

[9] The design inside the booklet for Overpowered features a cryptic assemblage (resembling a flowchart but lacking directional indications found in such) made up of boxes containing statements and quotes, as well as apparent excerpts from the written treatment for the "Let Me Know" music video and assorted photographs.

"[18] Ben Urdang of musicOMH praised Overpowered as Murphy's "most coherent album yet", noting that her songwriting "appears to be stronger than ever with a consistent style and sound emerging throughout.

"[23] Stylus Magazine's Dan MacRae found that "Overpowered knows how to squeech and squelch in the proper places, while touches of cowbell, beatboxery, and the occasional Prince styled riff all get sprinkled in accordingly.

"[24] Jax Spike of About.com described the album as "pretty overpowering itself, containing solid electropop music with plenty of funky flavor and some really wild beats, with her smooth voice exuding confidence despite any moments of breathiness.

"[17] The Sunday Times critic Mark Edwards opined, "The music on Overpowered plays down her quirky (all right, difficult) side in favour of a melange of disco/house styles from 1975 to 1989.

"[21] In a mixed review, Cpt H.M. 'Howling Mad' Murdock of Drowned in Sound concluded, "Not once does Overpowered really drag its feet, but it never truly impacts with the might one could possibly expect from an artist with such a fine pedigree.