In early 2003 the Hoodoo Gurus reunited to record "That's My Team" (a reworked version of "What's My Scene"), which was used as the promotional theme for the National Rugby League between 2003 and 2007.

[5][10] The title is a reference to the German phrase, "make show", which The Beatles were told on each night's performance during their residency in Hamburg, Germany in the early 1960s.

"[17] The Australian version of the album includes cover art depicting the group's name in large neon writing with the title small and below the last two letters.

[10] This has the band's name written in a wave form with the title above and to its right; centrally is a panel van with a roof rack and rays emitted from it.

[10] The international version also had a revised sequence, with the tracks "Isolation" and "Penelope's Lullaby" removed, and "White Night", "Monkey's Wedding" and "Song of the Year" added.

From late March to mid-June, in support of Mach Schau, the group embarked on a 68-date national tour, commencing in Geraldton and finishing in Sydney.

AllMusic's Mark Demming gave Mach Schau a rating of 3.5 out of 5 stars and felt that it "pretty well picks up where the band left off when we last visited with them" where the "poppier (and garagier) accents of" early albums was "pushed to the back burner in favor of a harder, guitar-based sound" of later releases.

[15] He praised Faulkner's vocals which were "in as fine a form as they’ve ever been" and Shepherd's guitar work "the oomph control knob on [his] amp hasn’t slipped down a notch".