In its Pop Spotlight column,
Billboard praised
It Amazes Me, noting that relative newcomer Liza Minnelli approaches her second album "in the stride of a pro". The review highlighted her "tremendous control, feel for lyric, sincerity and sensitivity" in interpreting the standard material, which it categorized as demanding "singer's songs". The magazine concluded that Minnelli and her team treated the special repertoire in a way that was both "commercially" viable and "artistically" accomplished.
High Fidelity magazine wrote that although Minnelli bears a resemblance to her mother, "she possesses her own way of emotional projection", which includes humor and a powerful voice. In its review,
Record World stated that Minnelli was born with "store houses of talent" that she puts "to good use" on the album. The publication noted that her performance across the carefully selected songs is "raucous, gentle, thoughtful, [and] playful", and highlighted tracks such as "Look at You", "Lorelei", "I Never Has Seen Snow", and "I Like the Likes of You" as benefiting from the singer's "ebullience". In a retrospective review William Ruhlmann of AllMusic wrote that the album was created to compete with singer and actress
Barbra Streisand, to the point that the arrangements and song selection resembled the material Streisand was doing at that time. He noted that the tastes of producer Peter Matz were evident in the song choices, which prioritized obscure Broadway songs. He concluded by stating that "the LP as a whole was another solid effort by a young but clearly talented artist". == Commercial performance ==