The aim of the present study is to analyze steady, two-dimensional laminar free convective boundary layer flows over circular cylinder or sphere or vertical plate immersed in an incompressible viscous or micropolar fluid embedded in a Darcy or non-Darcy porous medium, in the presence of a uniform transverse magnetic field by taking into account the thermo-diffusion and diffusion-thermo effects. The analysis includes: (1) formation of the mathematical models to obtain the governing boundary layer flow and heat and mass transfer equations for the new models; (2) non similar boundary layer transformation; and (3) numerical computation using a finite-difference scheme.