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2.
When something smells bad, as in a dumpster or outhouse, but has a tinge of something a little extra that's almost pleasant. Think of the smell when driving past a cow pasture or of rotting fruit in a garbage can full of trash or even a Honey Bucket that just had chemicals added to prolong the life of its use rather than empty it.
Me: "What's that smell? It's kinda bad..."
Him: "...but not really. It smells like... like... SWEET SHIT!"
by THE Mrs. Green October 22, 2010
 
1.
Possibly one of the greatest expressions ever. Used to show how much someone likes a concept or thing.

Synonyms include: Sweet, nice, kickass, all right, excellent, etc.
Mike - Dude, I got all the beer we need! Time to party!

Chris - Sweet shit!
by Definer October 13, 2004