VASP is a pay-package to use and can be bought
here.
SIESTA is an open source package to perform ab initio
calculation and can be downloaded
here.
ABINIT is a package whose main program
allows one to find the total energy, charge density and electronic structure of
systems made of electrons and nuclei (molecules and periodic solids) within
Density Functional Theory (DFT), using pseudopotentials and a planewave or
wavelet basis.
Exciting is a full-potential
all-electron density-functional-theory package implementing the families of
linearized augmented planewave methods. It can be applied to all kinds of
materials, irrespective of the atomic species involved, and also allows for
exploring the physics of core electrons.
Jacapo
DFTB - The Density Functional based
Tight binding method is based on a second-order expansion of the Kohn-Sham
total energy in Density-Functional Theory (DFT) with respect to charge density
fluctuations.
FHI-aims is an accurate
all-electron, full-potential electronic structure code package for
computational materials science.
Fleur is a feature-full,
freely available FLAPW (full potential linearized augmented planewave) code,
based on density-functional theory. The FLAPW-Method (Full Potential Linearized
Augmented Plane Wave Method) is an all-electron method which within density
functional theory is universally applicable to all atoms of the periodic table
and to systems with compact as well as open structures