Quietest PSU Available

Solution
Certainly one of the platinum rated supplies with the 'fanless' operation. Long as you keep it under 30% or so it won't even kick the fan on.

Corsair AX860i or the Seasonic equivalent S-860XP2

Agree on this one, although I can't hear my PSU fans over my 780's fans while gaming 😛

 
PC Power and Cooling used to make some of the best for quiet operation. They were bought out by OCZ and are marketed under a new name:

FirePower

However, I have not personally readany reviews of their products under the new name, so I have no idea if the quality has carried over into the new brand.

Maybe check Hardware Secrets for some reviews. They are very good testers and have a long list of PSU reviews.
 
The EVGA SuperNOVA G2 750/850/1000 are some of the best power supplies out right now. They have good fan controllers which is the OP's original concern, but they also have: 10 YEAR WARRANTY!, Modular, very efficient and aggressively priced. Amazing power supplies.