Can be from any genre. Mine is when an acoustic guitar comes in towards the end of a song and totally changes or reframes the mood/energy (see "Money" by Widowspeak)
I call them groove breaks, when the song takes a little break and just grooves for a bit.
The video version of Even Flow by Pearl Jam has a great one, Stranglehold has one, the album version of Sweet Emotions has one as the intro, so maybe not technically a break.
You might like Utah, Gateway to Nevada by A Plage of Locusts then. It changes back and forth between a slower, groovy chorus, and a slightly more energetic refrain.