NOVELTY - Producing olefins and aromatic compounds from feedstock involves introducing hydrocarbon feedstock and a composition of fluidized catalytic cracking (FCC) catalyst and ZSM-5 zeolite catalyst within reactor (52) in which a portion of reactor is at 420-730 degrees C; converting a portion of feedstock to product containing olefin and aromatic compound within reactor, where some of product is contained in liquid product stream (60); and directing portion of product stream to one of catalytic reformer, separation unit, hydropressing unit, separation unit and pyrolysis reactor.    USE - For producing olefins and aromatic compounds from plastic feedstock, such as polyolefins, polyethylene terephthalate (PET), natural/synthetic rubber, tires, plastic alloys, biomass, bio oils, or petroleum oils (claimed).    ADVANTAGE - The method increases production by product recycle through different downstream processes; and converts plastics directly to petrochemical products, such as olefins and aromatics that minimizes formation of methane and maximizes yield of olefins and aromatics. The plastics and other hydrocarbons are converted through pyrolysis to monomers with high yields of light gas olefins (e.g. ethylene, propylene and butenes) and aromatics, with low yields of methane. The conversion is accomplished with low residence time (on the order of seconds) making it ideally suited for large scale commercial operations.    DETAILED DESCRIPTION - Producing olefins and aromatic compounds from feedstock involves introducing hydrocarbon feedstock and catalyst composition comprising fluidized catalytic cracking (FCC) catalyst and ZSM-5 zeolite catalyst within reactor (52) in which at least a portion of reactor is at 420-730 degrees C; allowing at least a portion of the feedstock to be converted to products of at least one olefin and aromatic compounds within the reactor, where at least some of the product is contained in liquid product stream (60); and directing portion of the liquid product stream to at least one selected from catalytic reformer (A), separation unit (B), hydropressing unit (C), separation unit (D) and pyrolysis reactor (E). The catalytic reformer is suitable for producing aromatics to form reformed products containing aromatic compounds and non-aromatic compounds; directing the reformed products to separating unit to provide aromatic-rich separated product and non-aromatic-rich separated product from portion of the reformed products; and recycling the non-aromatic-rich product to reactor. The separation unit provides aromatic-rich separated product and non-aromatic-rich separated product, and directs portion of the non-aromatic-rich separated product to reactor. The hydropressing unit is suitable for hydroprocessing to provide hydroprocessed product (72) and recycling portion of the hydroprocessed product to reactor. The separation unit provides aromatic-rich separated product and non-aromatic-rich separated product (80, 90), and directs portion of the non-aromatic-rich separated product as feed to hydropressing unit under conditions for hydroprocessing to provide hydroprocessed product and recycling portion of the hydroprocessed product to reactor. The pyrolysis reactor provides liquid and gas pyrolysis product stream of which the liquid product is separated into aromatics-rich product and non-aromatics-rich product. The non-aromatic-rich product is recycled back to reactor with or without hydroprocessed prior to recycled.    DESCRIPTION OF DRAWING(S) - The figure shows flow diagram for catalytic plastics pyrolysis system.    Conversion system (50)    Reactor (52)    Condenser (54)    Separator (56)    Liquid gas product (58)    Liquid product (60)    Recycle stream (68)    Hydroprocessed product stream (72)    Liquid non-aromatic separated products (80, 90)