This needs to happen, badly. Psychology is one of the most important and least understood sciences.
About half of Americans will experience a mental disorder at some point in their lives, yet public understanding of these disorders is severely limited and littered with dangerous misconceptions.
The study of social psychology has brought about many important findings regarding how we interact with others, and knowledge of some of these findings can literally save lives.
An understanding of how the brain works on a physical level is enlightening and fascinating. To study physiological psychology is to discover how the single most complex piece of machinery in the known universe functions, and to reach a deeper understanding of the powerful engine that produces our consciousness.
There are over sixty distinct branches of psychology, and all of them have produced valuable insights into how humans work.
If such a Crash Course were to be designed, I'd suggest that the following subjects be covered:
Philip Zimbardo's Stanford Prison Experiment, and how it can be used to understand real-world situations like the Abu Ghraib prisoner abuse. It also generates numerous ethical questions, including whether environment should be taken into account when determining a criminal's punishment, and whether the supervisors who create evil environments should be held responsible for the misconduct of their subordinates.
Stanley Milgram's study in obedience, and how a simple study showed the ease with which normal people can become murderers based on commands from an authority figure. This study helped us understand what happened in Nazi Germany, and gave us chilling insight on how easily people can be made to commit monstrous acts.
The Bystander Effect, and the Kitty Genovese case. Are you better off having a heart attack in a deserted alley in front of one witness, or on a crowded street surrounded by people? The answer might surprise you. Knowing how this phenomena works can save your life, or the life of another person, because you'll learn how diffusion of responsibility works and how you can break through it.
Findings on conditioning and learning, including those made by Skinner. The study of how people acquire knowledge is fascinating, and it's useful to know how conditioning works so that we can use its principles to better ourselves, and to avoid unwanted conditioning from others.
At least a two-part episode on abnormal psychology and disorders would be necessary. There are many disorders, and most are surrounded by dangerous misconceptions that it will take time to unravel them from. Schizophrenia, bipolar disorder, autism, personality disorders, depression, and Alzheimer's dementia ought to be covered at the very least, though there are many others worth including.
I would absolutely avoid serious discussion of Freud or psychoanalysis. Nothing Freud did is relevant today, and he probably did a lot more harm than good in his lifetime. Psychoanalysis is dangerous pseudoscience and is notoriously ineffective. Except for mentioning in passing in a historical context, Freud is a waste of time.
There are numerous other subjects to cover, including developmental psychology (the study of psychological changes over the lifespan of a person), personality psychology (the study of what makes people different from one another), positive psychology (a field focusing on how to make people happier and improved, rather than simply fix what's broken), and motivation (what drives us, how we prioritize desires and what causes to take action). I'd also probably include an episode on addiction, since public understanding is severely lacking despite how prolific addictions of all kinds are, and there's a great deal of interesting information on the subject to be understood.
I think this is the most important Crash Course that could be created. Psychology is an essential science, and understanding it is enlightening, empowering, and allows us to form greater empathy with people experiencing mental abnormalities. Plus it is a subject that doesn't receive nearly enough attention in the school system, at both high school and college level. I'm sure it would be a great success.