www.cheminfo.org
     Multiplet simulator
     ¹H Prediction
     ¹³C Prediction
     COSY Prediction
     HSQC Prediction

www.nmrdb.org
     NMR simulator
     Predict ¹H NMR
     Predict ¹³C NMR
     Predict COSY
     Predict HSQC

ir.cheminfo.org
     Draw molecule, predict infrared spectrum, then click on orange bars over the spectrum to see animation of the peak vibration.

webspectra.chem.ucla.edu
     Problems in NMR and IR Spectroscopy

www.orgchemboulder.com/Spectroscopy
     Organic Chemistry Spectroscopy Problems

Sigma Aldrich
     Search by name, select a catalog number, look under Documentation for NMR, IR, or Raman spectra

Spectral Database for Organic Compounds SDBS, AIST Japan
     Compound and Spectral Search

Hans Reich
     Structure Determination Using NMR

The Getty Conservation Institute
     Infrared Spectroscopy in Conservation Science (pdf)

RRUFF Project Mineral Spectra
     Raman, IR, and XRD by mineral name