Gordon Royle's Open Questions - Colouring, algebraic graph theory, geometries. www.cs.uwa.edu.au/~gordon/remote/questions.html
Graph Coloring Problems - Archive for the book "Graph Coloring Problems" by Tommy R. Jensen and Bjarne Toft (Wiley Interscience 1995), dedicated to Paul Erdös. Gives progress and new problems. www.imada.sdu.dk/Research/Graphcol
Graph Theory Open Problems - Six problems suitable for undergraduate research projects. dimacs.rutgers.edu/~hochberg/undopen/graphtheory/graphtheory.html
Problems in Topological Graph Theory - Web text by Dan Archdeacon with a list of open questions in topological graph theory. www.emba.uvm.edu/~archdeac/newlist/problems.html
Snake-in-the-box Problem - Current status, with bibliography. ultralix.polytechnique.fr/Labo/Pavel.Emelianov/snake.html
Some Open Problems - Kézdy's open problems. athena.louisville.edu/~aekezd01/open/open.html
Some Open Problems - Open problems and conjectures concerning the determination of properties of families of graphs. www.eecs.umich.edu/~qstout/constantques.html
Unsolved Problems - Including the list of 50 problems of Bondy and Murty with current status. Compiled by Stephen C. Locke. www.math.fau.edu/locke/unsolved.htm