Above all tutorials should be useful. They should teach things that can actually be used. It is great when the tutorial teaches how to effectively use the feature in a real-life situation. A good Flash Tutorial will be adaptable.
Examples are actual snippets of code that actually demonstrate the principles taught in the tutorial. If the source code is downloadable as an example file for you to look at and run, that is even better. Look for examples that are easy to follow and demonstrate clearly the principle being taught.