Elwyn Berlekamp - Combinatorial Game Theory - Elwyn's research in the field, including several papers.Aviezri Fraenkel - A comprehensive bibliography on combinatorial games; several papers about combinatorial games; and information about where to publish such results.
David Eppstein - Combinatorial Game Theory - Many up-to-date links, and a short introduction.
David Wolfe - Combinatorial Game Theory - Includes Gamesman Toolkit, which implements the mathematics of two-player games in Winning Ways; and Richard K. Guy's paper "Unsolved Problems in Combinatorial Games."
Erik Demaine - Combinatorial Games - Research on pushing blocks, Clickomania, Phutball, sliding coins. Survey paper on algorithmic combinatorial game theory.
Jeff Erickson - Mathematical Games, Toys, and Puzzles - Links to several game theorists and actual games, plus a brief introduction. Also a couple of papers on game theory, about Toads and Frogs and Sowing Games.
Games that interest John Conway - Clever Games for Clever People, from the book On Numbers and Games.