Well... i have a female cockatiel that almost never makes noise except for when I first come home, but I have noticed she is exceptional and anyone else looking for birds should not expect to be so lucky. Most of them are noisy, it's just part of being a bird, very vocal critters. also, they all need toys and enrichment...not just a dull cage, and if you go with pretty much any species larger than a parakeet then you will need to train it and paly with it to make its brain work and keep it happy and healthy.., quickly approaching the level of attention and care a dog would take and very easily surpassing it if you are looking into any larger more advanced species.
i don't know how people think rats don't smell.... they do make great pets and they are really personable but they always smell, even if you clean them every day, just like birds are loud, rodents are high mess animals. (ferretts to btw, even if cleaned daily and bathed often they still smell, but it doesn't have to be nasty and over powering as they often are)
Reptiles would be the lowest maintenance in most cases unless you're lookin at a beardie or something which is super personable and cuddly but not fluffy.
snakes or crested geckos are easily the easiest animals in the world to take care of, low over all cost, low odor, low maintenance, NO noise. not so cuddly but both tolerate handling well.
As most others have already stated there is not really any single animal that fits ALL of your criteria, will have to sacrifice something somewhere....
so if you want cuddly and are willing to put in the time to clean then you should go with a rat or hedgehog etc.
if you can forgo some fluffy or cuddliness in favor of not cleaning quite so much then look into reptiles.