Annie left Island for Norwegian independent label Smalltown Supersound, which released a revised version of the album in October 2009.

The album features production work from previous collaborators Timo Kaukolampi and Richard X, as well as Xenomania and Paul Epworth.

In May 2008, Popjustice called the album "a complete modern masterpiece", while revealing the title (Don't Stop) and the first track listing.

Producer Brian Higgins was reported to have based the song around the vocal tracks from a Girls Aloud demo without their permission.

[3] The album cover shows Annie wearing a dress by French fashion designer Jean-Charles de Castelbajac.

[20] Pitchfork wrote that the song had "the slinky electro-pop strut" of Saint Etienne and Annie's previous single "Chewing Gum".

[28] Joseph Brannigan Lynch of Entertainment Weekly described the album as "a savvy mix of energetic early-'80s synth-pop and indie electronic", noting that Annie is "as close to LCD Soundsystem as to Kylie Minogue.

"[32] Drowned in Sound's David Renshaw called the album "brilliant", adding that "[t]he production throughout Don't Stop is noticeably strong.

[30] Christopher Muther of The Boston Globe viewed the album as "an electro-pop truffle—a tasty confection with a hard, glossy shell surrounding a smooth, melt-in-your-ear interior of cheeky, playful lyrics", while commending Annie for her "incredible knack for marrying Pat Benatar's lip-gloss feminist swagger with playful dance-club melodies.

"[39] Ailbhe Malone of NME noted, "Though production is split three ways between Xenomania, Paul Epworth and Timo Kaukolampi, the record is all Annie's own.

"[33] Sal Cinquemani of Slant Magazine opined that while Xenomania's contributions are "largely hit or miss", "the album's true highlights, not surprisingly, belong to Timo Kaukolampi and Richard X, the pair responsible for the bulk of Annie's debut".

[36] Matthew Perpetua of Pitchfork felt that "[n]ot every song on Don't Stop or its bonus All Night EP is a classic, but Annie's good taste has yielded another fine crop of pop tunes.