Generally a good first stop is http://refractiveindex.info/ -- at least for many of the more common materials. LiF you'll find under /?group=CRYSTALS&material=LiF
For a more exhaustive reference, your last stop probably will be the Landolt-Börnstein database http://www.springermaterials.com/ Unfortunately, you'll need some license to access. Many universities and other research organizations provide it via their local scientific library. (And they may have the printed version on their shelves.)
For alpha-MoO3, you have at my dataset on ResearchGate ( https://www.researchgate.net/publication/259358263_Dielectric_function_of_alpha-MoO3?ev=prf_pub ), it gives the frequency dependent dielectric function (in eV), and along the three axes. From there, you can easily determine (n,k) as a function of the wavelength.
For the other materials, in addition of the links provided by Ralf, I would say that the Palik's book are also really useful, if you can have access to them: