
irre
crazy
Colloquial for crazy, insane, or unreasonable. Can refer to people or actions.
Du bist doch irre, bei diesem Sturm nach draußen zu gehen!
You must be crazy to go outside in this storm!
crazy / awesome
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crazy
Colloquial for crazy, insane, or unreasonable. Can refer to people or actions.
Du bist doch irre, bei diesem Sturm nach draußen zu gehen!
You must be crazy to go outside in this storm!

extremely
Colloquially used as an adverb for emphasis, in the sense of 'very' or 'extremely'.
Das neue Album von der Band ist irre gut.
The band's new album is extremely good.

awesome
Colloquial for great, fantastic, impressive.
Was für eine irre Aussicht von diesem Berg!
What an awesome view from this mountain!

mistaken
Elevated or outdated for 'being in error', 'wrong', or 'having gone off the right path'.
Seine Annahme, der Fall sei bereits gelöst, erwies sich als irre.
His assumption that the case had already been solved proved to be mistaken.
The word 'irre' is related to 'der Irrtum' (mistake) and the verb 'irren' (to be mistaken, to wander around). The original meaning of having gone off the right path developed into today's colloquial meaning 'verrückt' (crazy).
Er irrte stundenlang durch den Wald.
He wandered through the forest for hours.
The meanings 'verrückt' (crazy), 'sehr' (very), and 'großartig' (great) are almost exclusively part of colloquial language. In formal or written contexts, the word is usually avoided.
Die Party gestern war der irre Wahnsinn!
The party yesterday was totally insanely awesome!
As an adverb, 'irre' is placed before an adjective or another adverb to intensify it. In this function, it is not declined.
Der Film war irre spannend.
The film was extremely exciting.
Whether 'irre' means something negative ('verrückt' = crazy) or positive ('großartig' = great) depends on the context. If it refers to a risky action, it is usually negative. If it describes a thing or an experience, it is often positive.
Ein irre gefährlicher Plan!
An insanely dangerous plan!
The meaning 'falsch' (wrong) or 'im Irrtum' (mistaken) is outdated and is now only used in very elevated language or in literary texts. It is often found in the fixed expression 'irre sein' (to be mistaken).
Der Gelehrte erkannte, dass seine bisherige Theorie irre war.
The scholar realized that his previous theory was mistaken.
crazy
Verrückt and irre can be used colloquially as reactions to something extremely unusual. Verrückt tends to highlight the extreme or chaotic nature of a situation and can sound critical. Irre, by contrast, can explicitly express enthusiasm about something great or impressive.

Die gelungene letzte Wendung der Show war einfach irre.
The show's successful final twist was simply awesome.
Die vielen überraschenden Wendungen machten die Show völlig verrückt.
The show's many surprising twists made it completely crazy.