Where can I find a collection of density functional parameterizations?
Unless you are doing it just for fun and curiosity how the think works, you are better with some existing library. Most prominent is the libxc, offering the lowest level interface, i.e. given density (and possibly gradient) at series of points, it returns the energy. What is left for you is the construction of the grid and optimization of density, ie. you can go for the real Hohenberg-Kohn DFT, not just Kohn-Sham. For the usage examples (of the really nice and simple interface) see http://www.tddft.org/programs/octopus/wiki/index.php/Libxc:manual

And most importantly, you can find definitions of all the functionals in the list of implemented functionals