- Banned in China: Banned in Singapore way back in 1963 due to concerns of references to Marijuana use. The ban has since been revoked.
- 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 baker.
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 was the first 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.