If you’re learning Verilog for the first time, you may be interested in several text books that now ship with an included VeriLogger disk and introductory Verilog source files and projects that are “ready to compile”. Here’s a partial listing as of the date of this posting in order of most recently published/updated:

FSM-based Digital Design using Verilog HDL by Peter Minns and Ian Elliott, 2008

Digital Design (4th Edition) by Morris Mano & Michael Ciletti, 2006
Digital Design (3rd Edition) by Morris Mano, 2001

The Verilog Hardware Description Language by Thomas & Moorby, 5th edition (2002)

If you obtain one of the older books, you should probably download the most recent version of the simulator for best performance.