Incredible

adj.joyful, energeticeveryday

Meaning 1

So unusually good, large, or striking that it prompts delighted disbelief.

Reach for it when using enthusiastic everyday praise for an experience or achievement

The youth orchestra produced an incredible richness of sound in the stone hall.

playful
fabulous
bright informal praise suits the audience
not when Fabulous may sound camp or superficial when the achievement is serious.
playful
phenomenal
high-energy praise fits exceptional performance
not when Phenomenal sounds inflated in a restrained or intimate context.
everyday
amazing
friendly enthusiasm and surprise are wanted
not when Amazing is heavily used and may sound automatic rather than considered.
warm
wonderful
pleasure and appreciation matter more than astonishment
not when Wonderful can praise a gentle experience that is not incredible.
professional
extraordinary
the result departs greatly from ordinary standards
not when Extraordinary is restrained observation and may omit the speaker's delight.

Too unlikely or unsupported to be readily believed.

Reach for it when describing a claim whose credibility is genuinely in doubt

The witness offered an incredible account that contradicted the time-stamped records.

everyday
unbelievable
literal or expressive disbelief is the point
not when Unbelievable is more ambiguous between praise and distrust.
professional
implausible
the evidence does not support the claim's likelihood
not when Implausible is analytical and lacks incredible's stronger rejection.

incredible achievement
Completing the tunnel by hand was an incredible achievement.
incredible opportunity
The residency gave six young artists an incredible opportunity to collaborate.
incredible claim
The editor requested evidence for the incredible claim about the site's age.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.