Pretty much any 3.5" desktop HDD is 'silent' these days, possibly barring actuator noise, and I wouldn't want a slow actuator rather than a bit more silence since faster access speed is so important for disk IO performance. What you gotta watch out for with 3.5" units though is resonance. Particulary with drives with more than one platter (more mass spinning, meaning more vibrations), and PARTICULARY if you got more than one HDD installed.
I had to put my PC on a large rectangle of compressed foam rubber (basically car engine compartment insulation, that I bought at an auto dealership many years ago now), in order to stop the resonance in my box; I have 3 HDDs and 4 large fans plus 2 small ones mounted in it. Try that; disconnecting the entire PC chassis from the desk can lead to substantial noise savings!