All Delighted People received mostly positive reviews from contemporary music critics. At Metacritic, which assigns a normalized rating out of 100 to reviews from mainstream critics, the album received an average score of 63, based on 12 reviews, which indicates "generally favorable reviews".[14]
Ian Cohen of Pitchfork Media gave the EP a positive review stating, "It isn't the mere existence of Age of Adz that puts this EP in perspective, though-- the electronic sonics of first taste "I Walked" are a blatant sign that we may ultimately have to retire the idea of Sufjan Stevens as a banjo-toting cartographer of the heart and the continental United States going forward. The scrapbook-like cover of All Delighted People makes sense then, as its contents serve as a humble and friendly keepsake, songs that deserve to be heard, but belonging to a chapter in Stevens' artistic livelihood that he needed to close to maintain his vitality."[10]
Side D contains piano solos originally recorded as a soundtrack to the 2008 short film Eve, directed by Natalie Portman. No information is contained about these in the vinyl release.