The NASA site on lift is phenomenal. Particularly the Java applet which does a simple simulation of of an airfoil with velocity and pressure plots. I've completed a specilization in Aerospace engineering, and this simulation basically sums up the fundamentals of the curriculum. The intuitive take away is the most important part, not the equations.

Fact is, objects in a moving fluid generate lift based on angle of attack. Varying the object and the fluid characteristics yields different results. Since it is a very complex system to model from first principles, it makes sense to look at real world data and simulations to develop intuition.