INTJ, myself
I took an interesting leadership class a few years back where they first did the Meyers Briggs test, then sorted us according to the results and had us do activities that clearly showed the differences in outlook and behavior predicted by the test results.
When contrasting the introvert/extrovert aspect, they put the three strongest Extroverts out in the hall, then called them in. They entered mid-conversation, having clearly been chatting merrily the whole time. Then the strong introverts came in, having clearly been standing silently in the hall avoiding eye contact.
On Sensing vs. Intuition, the strong Sensers assigned to describe a cup of M&Ms counted them and indexed them by color. At the Intuition table, the cup was glanced at perfunctorily, but triggered a wide ranging discussion of the M&M specialty stores, the history of the removal and reintroduction of red M&Ms, urban legends around the green, etc.
On Judging/Perceiving, they lacked sufficient Ps to make their own group, so they seeded one into each J group. Given the task of deciding whether to report a neighbor for stealing food from our shop to feed his family, our group noted that we ultimately reported him to the police (over the Ps objection), but then felt a little bad about doing so due to the P's protest.