NOVELTY - Extracting materials from municipal solid waste, comprises: providing a municipal solid waste comprising first, second and third set of waste materials; shredding the municipal solid waste; removing all or all of the first set of waste materials from the municipal solid waste; separating the second set from the third set of waste materials in the municipal solid waste; recombining the second and third set of waste materials to form a first recombined stream; mixing a clean stream with the first recombined stream to form a second recombined stream; and densifying the second recombined stream.    USE - The method is useful for extracting materials from municipal solid waste to produce an engineered fuel product (claimed), which is used as replacement for coal, petroleum coke and other traditional solid fuels which are used to produce stream, electricity or heat.    ADVANTAGE - The method provides engineered fuel product: that can meet precise end-user fuel specifications including british thermal unit (BTU) value, biogenic carbon content, and low sulfur content, and can be easily used in coal-fired boilers and kilns; in a cost effective manner; that can be stored for 1-3 days before being transported; that burns cleaner than coal or petroleum coke; and has reduced nitrogen oxides, sulfur oxides and green house gases emissions.    DETAILED DESCRIPTION - Extracting materials from municipal solid waste, comprises: providing a municipal solid waste comprising a first set of waste materials, a second set of waste materials and a third set of waste materials; shredding the municipal solid waste; removing all or substantially all of the first set of waste materials from the municipal solid waste; separating the second set of waste materials from the third set of waste materials in the municipal solid waste; proportionally recombining the second set of waste materials and the third set of waste materials to form a first recombined stream; proportionally mixing a clean stream with the first recombined stream to form a second recombined stream; and densifying the second recombined stream. The first set of waste materials comprises at least one of inert waste and ferrous metals. The second set of waste materials comprises at least one of fibers and rigid plastics. The third set of waste materials comprises at least one of foam plastics and film plastics. The clean stream comprises fibers and clean plastics.