Three things are inevitable: Death, taxes and noise.
That being said, there are really levels of quietness and some places are nearly silent. Probably some of the quietest place is the desert. Camping in the desert affords remoteness from construction and there is little sounds of nature.
Remote islands are also an excellent choice. Currently, I am in La Digue which has apparently less than 10 vehicles on the island. There is not much wildlife either, so I pretty much here nothing most of the day and night except other tourists talking at the beach or in restaurants. Even then, it never gets loud here. There are plenty of vehicle-free islands around the world which can provide a very quiet environment, specially arid ones which usually feature less wildlife.
A jungle or cloud-forest lodge gets pretty quiet from human noises but the wilderness is alive at night. I have had several stays in the Amazon and several jungles in Central America, and I can say that there are plenty of sounds at night when trying to sleep. Except for howler monkeys of Guatemala, a good set of ear-plugs greatly helped.
For cities, it really varies but I had great joy in spending time in pedestrian cities in Croatia. Dubrovnik, Korcula, Split and Zadar all have pedestrian-only centers that are much more quiet than typical cities. So much that when I reached Zagreb, it took my a while to notice why it was much more noisy there: motor vehicles. Also those historic cties have very little construction going on since the buildings are already densely packed and kept for historical value. Be sure not to choose a hotel near a disco, bar or the like, since that can create quite a racket that reaches a few buildings.