Extractor systems for extracting a flexible article of manufacture from a mold include an extraction roller, at least one track configured to support the extraction roller, and a trolley configured to carry the extraction roller from a first side of the mold toward a second, opposite side of the mold. Molding systems include a mold and an extractor system. Methods of extracting a flexible article of manufacture from a mold include separating a first platen and a second platen, positioning an extraction roller between the separated first and second platens, engaging the article of manufacture with a row of teeth positioned along the extraction roller, and rotating the extraction roller to wrap the article of manufacture about the extraction roller.