Check out filefish, they are cousins to the triggers. Not as colorful, but swim and **** their trigger similar. They stay small and are peaceful and you can get bonded pairs. Really neat fish if I had a tank available, I'd get a pair. http://www.liveaquaria.com/diversden/ItemDisplay.cfm?c=2733+3&ddid=338156
Depends on what you mean by mini. Blue throats reportedly top out around 8-9 inches although I have not seen one bigger than 6 inch. That is about as mini as triggers get not including any ultra rare mega dollar species. Trigger like would be a file fish.
They have similar shape to triggers, commonly smaller and considerably less aggressive. Problem with them but most are difficult to keep in captivity.
Just thought I would add a little bit of clarification, since you seem to be asking about smaller fish. What @tkiry1 has is a whitespotted filefish (Cantherhines macrocerus), which is one of the larger species having a reported size of 10-15in. There is also the whitespotted pygmy filefish (Rudarius ercodes) which is much more manageable at 3in. The radial filefish that @lion king linked to is another of the smaller species. And as @jdl513 said the blue throats seems to be the smallest and one of the more peaceful triggers. Good luck with your search .
I've had a blue jaw and a sargassum and they are both quite passive. Had them a year or 2 and they haven't gotten much bigger than 4 inch yet although they have a massive appetite.
The sargassum ate a royal gramma in qt. Well half of it anyway. I think he was just really hungry because i didn't feed him that day. But i haven't seen any aggression from him since and he is housed with much smaller fish.