Producer Dan Brodbeck won the 2010 Juno Award for Recording Engineer of the Year for his work on the songs "Apple of My Eye" and "Be Careful" from No Baggage.

[8] Some critics found merit in the record, with Sputnikmusic noting that it shows O'Riordan "building on old strengths, while broadening her artistic scope farther than it's been in thirteen years".

"[8] Sarah Moore from PopMatters stated that "she gives her yodels a certain sheen, and combined with the background vocals they sort of gloss across the refrains".

[11] AllMusic's Stephen Thomas Erlewine gave the album a three-and-a-half-out-of-five-stars, exclaiming that, "Yes, this is instantly recognizable as her music—not just in that voice, but its blend of folk-rock and sighing, spacy rock that splits the difference between U2 and David Gilmour-led Pink Floyd—but No Baggage is bigger, brighter than Are You Listening?

and as the album starts to hit its stride halfway through, she weaves in increasingly varied instrumentations, sometimes delving into pure worldbeat influence but more often using all these sounds as coloring on crisp, cheerful adult pop".