The Comprehensive LaTeX Symbol List by Scott Pakin.
Abstract:
This document lists 14032 symbols and the corresponding LATEX commands that produce them. Some of these symbols are guaranteed to be available in every LATEX 2 system; others require fonts and packages that may not accompany a given distribution and that therefore need to be installed. All of the fonts and packages used to prepare this document—as well as this document itself—are freely available from the Comprehensive TEX Archive Network (http://www.ctan.org/).
For unfortunates who print to A4 paper: http://tug.ctan.org/info/symbols/comprehensive/symbols-a4.pdf.
Perhaps not as challenging as giving Unicode character names for random representative glyphs but at 14032 symbols, certainly enough material to keep you busy for several long afternoons!
Enjoy!