You can find a list to functionals for which the s6 scale factors have been determined in S. Grimme, J. Comp. Chem. 27, 1787, 2006.
namely, 0.75 (PBE), 1.2 (BLYP), 1.05 (B-P86), 1.0 (TPSS), and 1.05 (B3LYP).
to my knowledge, this global scale factor has not been determined for LDA.