Bruker has made Topspin software free for academic users. Check it out.

Andrew Hall, a grad student at Univ of Bath, wrote a poster explaining NMR only using the 1000 most common words. Here is this poster – Hidden Force Looking Machine.

A small comment – the purpose of the “radio shout” is usually not to turn the spinning tops the other way, but to turn it lying flat (ie. not 180-deg but 90-deg).

NMR spectroscopy is a well-established scientific discipline.  Many scholars in the field have developed teaching materials that help new users get familiarized with the basics of NMR.  This NMR Wiki site collects links to many of these materials.  They all teach the same science but with their unique approach, emphasis, and target audience.  Pick an author that fits your taste, background, and needs.

Spectral Database for Organic Compounds SDBS offers the spectral data and interpretations of a wide selection of organic molecules.

This University of Wisconsin website by Hans Reich offers a nicely tabulated collection of chemical shifts and J-couplings of many molecules.

SDS has a webpage for chemical shifts of solvents.

The paper by Hugo E. Gottlieb, Vadim Kotlyar, and Abraham Nudelman in J. Org. Chem., 1997, 62 (21), 7512-7515 has an extensive list of chemical shifts of common solvents as trace impurities in other solvents.

The paper by Gregory R. Fulmer et al. in Organometallics 2010, 29, 2176–2179 expanded the above work and has data for more solvents.