Our ability to perform first principles calculations of the spectra of diatomic and small polyatomic molecules is reaching new levels of accuracy. For diatomic molecules, we are developing an automated web-based system which will be able to generate high quality data on demand. For polyatomic molecules, we have carried out calculations on systems as large as methane (CH4). The polyatomic molecule with the most experimental data available for comparison is water (H2O), and we will show our latest results for this system.