Here is the full list of all 15 Babycar Driver achievements.
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Get a score of at least 10,000 in the Forest level
Get a score of at least 15,000 in the Forest level
Get a score of at least 20,000 in the Forest level
Get a score of at least 10,000 in the City level
Get a score of at least 15,000 in the City level
Get a score of at least 20,000 in the City level
Get a score of at least 10,000 in the Desert level
Get a score of at least 15,000 in the Desert level
Get a score of at least 20,000 in the Desert level
Get a score of at least 10,000 in the Arctic leve
Get a score of at least 20,000 in the Arctic level
Unlock one complete costumes
Unlock five complete costumes
Unlock seven complete costumes