If you read up on the lifecycle of a bubble, one key property is that people will claim "this time it's different" because of several reasons, which turn out to be incorrect when the bubble inevitably pops.
Has there ever been bubble-like growth without the bursting at the end? In other words, has it ever been that "this time it's different" turned out to be true?
Thus, there's no such thing as "a bubble that didn't burst", there are only either things that weren't bubbles in the first place... or bubbles that haven't burst YET.
An example that comes to mind is petroleum. There are those who believe that oil-based energy, which is a key underpinning of our economy, military, lifestyle, etc., has been part of a "long boom" following coal but has reached a peak and will cause our economy to burst like a bubble when it finally retracts... and there are those who disagree and think we'll find economical substitutes as incentives warrant our doing so.