A process for making modified polybutylene terephthalate random copolymers from a polyethylene terephthalate component includes reacting an oligomeric diol component selected from the group consisting of bis(hydroxybutyl) terephthalate, bis(hydroxybutyl)isophthalate, hydroxybutyl-hydroxyethyl terephthalate, and combinations thereof to a reactor; (i) a polyethylene terephthalate component selected from the group consisting of polyethylene terephthalate and polyethylene terephthalate copolymers with (ii) a diol component selected from the group consisting of 1,4-butanediol, ethylene glycol, propylene glycol, and combinations thereof, in the reactor under conditions sufficient to depolymerize the polyethylene terephthalate component into a first molten mixture; combining the first molten mixture is combined with 1,4-butanediol under conditions to form a second molten mixture; and placing the second molten mixture under conditions sufficient to produce the modified polybutylene terephthalate random copolymers. Also described are compositions and articles made from the process.