I didn't memorize the NMR spectra as the questions are usually asked in such a way that you only need to know values relatively rather than absolutely. In other words, you won't be asked what functional group corresponds to a shift of 7 ppm. Instead, you'll probably be given structures and asked which structure corresponds to the NMR data. Rote memorization usually isn't necessary.
I third the IR data: C-H saturation (~1600), all the carbonyls (aldehydes/ketones, ~1600-1900 depending on the group), and the OH stretch (broad, ~3000).