If you're instead looking for coloring books, here's a list of cat coloring pages with links to get you started.
If you'd like to impress your friends and make them think that you have mad skillz and can draw a cartoon cat, you can use BeFunky. I used BeFunky.com to create this cartoon from a picture of Teddie, showing her very proud and bossy tail up...
There are several websites that provide this kind of feature, allowing you to cartoonize pictures or add other effects, but I find that BeFunky is very easy to use and I like their interface.
Oh, by the way, since my artistic drawing skills are so bad, I did not draw the the Siamese cat face above. That is a photo that I modified to look like a drawn image. I did that with Paint.net, which is a free desktop tool for Windows computers.
Below are a number of video tutorials showing how to draw a cat. They include Chinese brush painting and other techniques, as well as various cats, such as a Maine Coon and a Siamese.
The below video of the kitten sketch is from drawing-studio.net, and represents 10 hours of drawing time compressed into 1 minute 42 seconds. The site has suggested drawing tips and tools as well.
The video below is a time lapse demonstration of how to draw a tabby cat. This is one doesn't look like it's for beginners!
In this next video, artist Jay French shows you how to draw a Siamese cat face and head.
Here's a video on drawing Neopet cartoon cats (or cat-like creatures anyway).
Artists And Inspiration
Just in case the above videos aren't enough to get your creative powers moving, below are the sites of some feline artists showcasing their work. Perhaps you'll be inspired and get ideas on how to draw a cat in some new and different ways.
Bigcatheads Blog Bruce Mckay paints cats. Big, usually bright, unusual looking cats. Very expressive, comical cats that tell stories with their eyes. His paintings have great titles like "Ambush," "The Pacifist," and "Domestic Forest Cat." Some day, when I find just the right wall, I hope that one of his pieces graces it.