These models are period models made by Bandai Company, a major Japanese manufacturer of tin toys in the post WWII era. They are are fine quality, highly detailed models. The cars have a friction drive motor in the rear. The cars are unusual in that they have all details of a 1958 except they have a 1959 grille. Presumably they were 1958 models produced with updates for 1959 in the year 1959. Many Japanese models of this era can be found with hybrid of model year details.
Pictures courtesy of Gary Kerr.