Bruce Eaton described "Back of a Car" as "the album's standard bearer for straight-ahead, unadulterated
power pop – a track that would have easily held its own, if not stood out, on
Beatles for Sale. Sullivan particularly praised Chilton's guitar playing as well as his "convincingly aching/pent-up/desirous vocal."
Rolling Stone critic Ken Barnes described the song as a "shimmering pop delight."
Stereo Review critic Steve Simels described the song as one of the "standout tracks" on
Radio City. Music critic Rob Gieringer described it as "one of the best pop songs ever written."
The Sacramento Bee critic Gene Sculatti described it as containing "one of those distinctly Big Star-ry folk-rock vocals, silverspun like some
Byrds 12-string spiral." Singer-songwriter
Bill Lloyd listed "Back of a Car" as one of his top ten songs, saying that it is the first song [he would] play for someone who never heard of Big Star." Lloyd described the song as having "big sound" with "chiming guitars and crashing drums" and suggested that Chilton's willingness to write about teendom despite being in his 20s became a cliche for future power pop bands. ==Live versions==