These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Alternate Character Interpretation: While most viewers take it for granted that Max's wife is mortally wounded in the end of the first film, it's actually not certain. The doctor states that she's "salvageable" in spite of her catastrophic injuries. This puts Max's Roaring Rampage of Revenge in a different light, given that he might actually have a critically injured wife still alive and counting on him to survive. The sequels wipe this away by making Max's entire family unambiguously dead, giving him truly nothing to lose.
Awesome Music: The music for The Road Warrior's opening narration is both bleak and stirring at the same time.
Epic Movie: Taken as a whole, the trilogy could be viewed as this, as it presents the full circle of Max's struggle with the apocalypse and his own personal demons.
Even Better Sequel: Mad Max 2. The first film was a hit in Australia, but the sequel was released in America as The Road Warrior because not many Americans had even heard of the original film yet.
Fanon Discontinuity: While the two sequels are much better known outside of Australia than the original, most fans consider the first two films the only really good ones of the series.
Beyond Thunderdome does, on the other hand, skew toward being a Guilty Pleasure emblematic of mid-1980s science fiction, and it's the one that's generated the most well-known pop-cultural phrases.
Harsher in Hindsight: Max suffering a nervous breakdown from the tragedy in his life becomes harder to watch in light of Mel Gibson's own real life personal problems.
Plus his speech about how worried he is about becoming just as bad as the criminals he fights.
Vindicated by History: With the success of the sequels, the original Mad Max has become hailed as a SF classic and a major example of what can be done on a low budget if the film crew is talented enough.