Parametric elliptic functionals are natural generalizations of the area functional that both arise in many applications and offer important technical challenges. Given any parametric elliptic functional, the anisotropic Bernstein problem asks whether the entire anisotropic minimal graphs associated to the functional in R^{n+1} are necessarily hyperplanes. A recent breakthrough regarding this problem indicates that the answer is positive if and only if n < 4. In this talk, we will talk about a Bernstein result for entire anisotropic minimal graphs in all dimensional Euclidean spaces, under assuming some certain growth condition on the anisotropic minimal graphs and C^3-closeness between anisotropic area integrands and the classical area integrand. This is joint work with W. Du.