Tutorials
Novice at the top, advanced at the bottom...

The Blender Interface and (the famed) Gingerbread Man!
This should be the first step in your Blender training. The Blender Interface takes some getting used to, but as soon as you know it, you will love it. In this tutorial you will learn how to make the interface work for you, then test your skill (and daring) by constructing the gingerbread man! (This tutorial links to a continuous wikibook, you may stop after finishing the gingerbread man.)

The Ott Planetarium Standard Interface
Not so much a tutorial, more a suggested way of doing things. Hate selecting stuff with the Right Mouse Button? Sick of being dumped into Edit Mode every time you add an object? You've come to the right place.

Introduction to Character Animation - PDF Version 3.8 MB
This tutorial is designed to teach you the more advanced tools available in Blender. No prior knowledge is assumed. You will be able to follow this tutorial without any prior Blender experience.

Introduction to Lighting
Blender is not going to behave exactly like reality, any 3D program is about fakery: faking shapes, faking materials, everything, light included. The sooner we realize this, the better. The rules in a 3D application are different than in the real world, so we will solve the problems and make use of the advantages derived from that.

Introduction to Materials
Materials and textures are one of the most important tools in any 3D package. A superb mesh object will still look like a grey plastic toy without good textures. Yet materials and textures can be one of the most challenging aspects of the design process. Blender, like many other comprehensive 3D suites, has a vast array of tools that can help you create virtually any material either in reality or beyond.

Introduction to Physical Simulation - PDF Version 1.4 MB
This tutorial introduces you to some of the most interesting features of Blender. Learn how to model and interact with Fluid Simulations, Softbodies, Particle Systems, and Rigid Bodies.

Physical Simulations in Blender with Python Scripting
Provides some documentation and advice on using blender for scientific visualizations. An introduction to the Python programming language is included.