There are many software packages for the finite element method, of which the most popular are listed e.g. on Wikipedia. When it comes to the finite volume method, I'm not aware of any similarly comprehensive list. In fact, the only software package I'm actually aware of is OpenFOAM. Do you know any alternatives?
(I'm mostly interested in software capable of describing (a system of) general advection-diffusion-reaction PDEs, not just a specific model such as Navier-Stokes. But if there are good extensible Navier-Stokes solvers, they can be listed as well.)