I stumbled over this older question. I actually wrote a program, that takes the type of algebra (A,B,...,G), the rank, level, and appropriate root of unity as an input. It uses the associated quantum group to calculate the F- and R-symbols, as well as the modular data. It's currently slow. You can download the package from GitHub: github.com/ardonne/affine-lie-algebra-tensor-category
The package is based on arxiv.org/abs/1004.5456. More info on the quantum group construction can be found in f.i. Bakalov & Kirillov, Lectures on Tensor Categories and Modular Functors