Enumeration of Polyhedra - Enumeration of polyhedra with upto 9 faces by Steven Dutch. - http://www.uwgb.edu/dutchs/symmetry/polynum0.htm
The Seventeen Wallpaper Groups - Examples in traditional Japanese patterns. - http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html
Squared Squares - Tilings of squares and rectangles, the classical problem and variations. - http://www.squaring.net/
Counting Young Tableaux - An article on counting Young tableaux of bounded height by François Bergeron and Francis Gascon. - http://bergeron.math.uqam.ca/Bessel/bessel.html
Polya's Enumeration Theorem - An article on generating functions and Polya's theory of counting by Karl Dahlke. - http://www.mathreference.com/cmb-gf,pet.html
Combinatorics - MathWorld article with basic definitions and links. - http://mathworld.wolfram.com/Combinatorics.html
The Cutting Sticks Problem - An unsolved combinatorial problem by Frans Faase. - http://www.iwriteiam.nl/cutsticks.html
Series Expansions - Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities. - http://www.ms.unimelb.edu.au/~iwan/Series.html
Combinatorial Catalogues - Combinatorial objects such as graphs, designs and geometries collected by Gordon Royle. - http://www.csse.uwa.edu.au/~gordon/data.html
Generating Functions - Introduction to generating functions with interactive java applets by Alexander Bogomolny. - http://www.cut-the-knot.org/blue/GeneratingFunctions.shtml
Catalogue of Lattices - A catalogue of different types with applications to packing spheres by Neil Sloane and Gabriele Nebe. - http://www.research.att.com/~njas/lattices/
Combinatorial Data - Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format. - http://cs.anu.edu.au/~bdm/data/
G-Systems - Theory of chord structures to create music through algorithms by Vladimir Ladma. - http://www.sweb.cz/vladimir_ladma/english/music/articles/dide99.htm
A Survey of Venn Diagrams - Various facts and figures about Venn diagrams by Frank Ruskey. - http://www.combinatorics.org/Surveys/ds5/VennEJC.html
CATS: Combinatorial Algorithms Test Sets - Searchable index of problems, links and methodology maintained by the Association for Computing Machinery. - http://www.jea.acm.org/CATS/
Extremal Combinatorics - With Applications in Computer Science by Stasys Jukna. - http://www.thi.informatik.uni-frankfurt.de/~jukna/EC_Book/
Topics in Mathematics - Combinatorics - In the Mathematics Archive at University of Tennessee, Knoxville. - http://archives.math.utk.edu/topics/combinatorics.html
The Combinatorial Object Server - Select a type together with specific parameter values and COS will return a list of all such combinatorial objects. - http://www.theory.csc.uvic.ca/~cos/