Formal terms:
* Exclusive
* Scoop
* Break
* Original reporting
* World exclusive (for stories of major global significance)
Informal terms:
* Beat
* Hot off the press
* First look
* Inside story
The best term to use depends on the context and the tone you want to convey. For example, "exclusive" is more formal than "beat," and "scoop" implies a sense of excitement and achievement.
It's also important to note that the word "exclusive" can sometimes be overused or misused. A story can only be truly exclusive if it is genuinely original and hasn't been reported by anyone else.