An incredible story is one that leaves a lasting impression on the listener or reader, usually due to its extraordinary nature. There are several synonyms that can be used to describe such a story, including remarkable, unbelievable, astonishing, awe-inspiring, fantastic, mind-blowing, unbelievable, astounding, surreal, and extraordinary. Each of these words conveys a sense of amazement and wonder, and can be used interchangeably with "incredible story" to describe a particularly captivating tale. Whether it's a real-life account or a work of fiction, an incredible story has the power to transport us to another world and leave us in awe of the human imagination and potential.