Residual solvents can be simultaneously identifiied and quantified by NMR spectroscopy, usually with high sensitivity as solvents are low-molecular weight compounds. In 2005, Jones, Sharman, and Pidgeon published an excellent approach to residual solvent analysys by qNMR using an html/xml and java-based small database that allows the rapid identification of signals of all ICH-prescribed solvents. This forms the basis of rapid and reliable qHNMR quantification of even trace quantities of solvents, e.g., in pharmaceutical samples.
Jones, Ian C; Sharman,Gary J; Pidgeon, Julia. 1H and 13C NMR data to aid the identification and quantification of residual solvents by NMR spectroscopy. Magn. Res. Chem. 2005, 43, 497-509 (http://dx.doi.org/10.1002/mrc.1578).
The site commonorganicchemistry.com offers an "NMR Residual Solvent(s) Calculator" spreadsheet which contains a useful example.
Other useful articles with regard to solvents:
"The Lipid Library" provides much resources on the NMR spectroscopy of fatty acids, including qHNMR of fats and oils.
Reported areas of application of the qNMR toolbox include, but are not limited to,