- Death of the Author: Stoners won't relinquish their reading of Puff as a metaphor for weed, in spite of the author's insistence that no such metaphor was intended.
- Ear Worm: The original song. Other songs introduced in the films qualify as well.
- Crowning Moment of Heartwarming: After the giant pirate decides to follow his heart and become a chef.
Pirate/Chef: I'm a new man! No, I'm an old man with a new heart!
- Tear Jerker: Jackie Paper leaving Puff forever is one of the most famous and heart-wrenching ones in all of 20th century music.
- Values Resonance: The animated special is probably the one one ever made to so accurately discuss social anxiety and depression, two conditions that have received much more attention in the 21st century, giving the special a lot more bite.
- What Do You Mean, It Wasn't Made on Drugs?: Yarrow insists that the song is entirely innocent and has no meanings beyond the obvious (in one concert, he even joked that the verses to "The Star-Spangled Banner" can be read as a drug song). Nevertheless, it's widely believed that the song is some sort of extended drug reference, to the point that it was banned in Singapore for many years.