There is provided a double-compression, pneumatic-driven popping apparatus for making chip-like snack foods. The apparatus includes a first and second popping machine sections, each having a pneumatic-driven compression cylinder; and a mold plate coupled to the pneumatic cylinder and responsive to urging of the first pneumatic cylinder. A ring mold is located between the first and second machine sections and is subjected to compression by the first mold plate and the second mold plate. The apparatus has a pneumatic drive system including a compressed gas vessel, and a controller configured to control the pneumatic-driven compression cylinders independently through fast-acting control valves. During use, the apparatus applies pneumatic double-compression in a controlled manner such that a time interval between the first and the second compression steps is in the range of milliseconds, to produce a chip-like snack food product.