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1.
One who continually repeats the same statement with little variation, if any.

Derives directly from the (slightly inaccurate) term involving polyvinyl record albums, where such a "broken" record would repeatedly skip back a moment in what being played. (The term was inaccurate - usually such skippage was caused by debris on the disc.)
Hey, Bob is being a broken record about the salad bar. Somebody wanna hit him?
by ke6isf April 11, 2007
 
2.
Is a term to express something that keeps repeating.
It like a broken record does to a music
You're like a broken record, keep on saying the same thing over and over again
by Bagyawan Sanjoto September 05, 2006