Four singles were released worldwide from the album: "Superstitious", "Open Your Heart", "Let the Good Times Rock", "More Than Meets the Eye".

[13] Out of This World included the hit singles "Superstitious", "Open Your Heart" and "Let the Good Times Rock", all of which had accompanying music videos.

Reviewing the album, AllMusic contributor Andy Hinds writes that "Europe produces made-to-order lite metal with admirable craftsmanship and occasionally memorable hooks.

Capable lead singer Joey Tempest carries the tunes with nonthreatening panache, while Kee Marcello (who proved his virtuosity on Europe's previous by performing "Flight of the Bumblebee") provides plenty of nice guitar solos.

"[7] Paul Elliott of Classic Rock considers Out of This World "the strongest" of the two follow-up albums to the highly successful The Final Countdown and "Superstitious" "arguably Europe's greatest ever song".

[8] Tim Jones of Record Collector is even more enthusiastic, defining the album "a stratospheric set of a dozen imperious rockers.

"[10] On the contrary, Canadian journalist Martin Popoff wrote a bad review of the album, comparing it to "an offensive pop rock outing, much closer to early Warrant ... than The Final Countdown could or would dare" and calling Europe "a dunce-cap posse solidly in search of cash and chicks, egregiously removed from any sort of hard rock acumen.

In some places, in Germany particularly, the band did not manage to fill up the arenas and concert halls like they had done during the Final Countdown Tour, despite more and more good reviews from the musical press.

Kee Marcello claims in his biography The Rock Star that God Forgot to have written a number of complete songs that were rejected for this album - "Too Far Gone", "Another World" and "Can't Fake Love" are listed.