A review of our NMR investigations on fluorinated graphite intercalation compounds (FGICs) is presented. Fluorographites C2F intercalated by bromine and chlorine trifluorides, acetone, benzene and acetonitrile have been studied. It is shown that the absence of charge transfer, and the mainly van der Waals character of the guest-host interactions are the causes of the non-existence of FGICs with stages higher than stage 2. The molecular dynamics and the arrangement of molecules in the interlayer spaces of fluorographite have also been studied. The nature of the observed phase transitions (two-dimensional melting, commensurate-incommensurate phase) is discussed.