"lady croissant" received a mixed critical reception. allmusic's marisa brown called sia's vocal performance "rich and passionate" and compared it to nelly furtado and morley. brown stated the band was "tight and lush" and that the music was "very modern, warm and melodic and cleanly intricate". in his review for bbc music, paul sullivan wrote that the album successfully displayed sia's vocal capabilities and versatility. however, he noted the minimal audience participation and felt that this prevented the album from capturing a "live" experience. for sullivan, highlights included "don't bring me down", "destiny", and "lentil", which he believed were "executed with an appealing mixture of frankness and fluidity". mark perlaki of gigwise.com awarded the album four out of five stars and opined that the album "portrays an artist who's star is in the ascendant, whose voice is unrivaled in style and expression, an artist on the brink of deserved and assured greater recognition". the "selby times" review called the collection "mesmerising" and a good indicator of sia's future work. one reviewer for wers called the album "breathtaking" and wrote positively of sia's vocals and the instrumentation. like sullivan, the reviewer warned that listeners expecting a traditional live album with "raw cuts and heavy improvisation" might be disappointed.