A magnetic toy assembly suitable for puzzles and playthings includes plural main toy pieces that are magnetically anchorable, in a slidable manner, to a slide surface of a bi-dimensional or three-dimensional base member in magnetically conductive material. Each main toy piece includes: a body made of magnetically non-conductive material, having a rear side surface configured to slidably contact the slide surface of the base member; side contact surfaces configured to allow a contact and a relative sliding movement between the main toy pieces; and at least one magnet at the rear side surface for anchoring the main toy piece to the slide surface of the base member. A number of main toy pieces include a pole extension for the magnetic flux.