I used the Silverstone FN121/FW123 (i think those numbers are right) and they're pretty decent but sometimes they feel a bit loud. They're 15mm thick.
The Silverstone slim fans can run silent at idle speeds, but most of them have a scraping noise at low speeds which is much louder than the fan itself. they also have a high max rpm which can get very loud.
Akasa also do a good slim fan which can run nice and quiet if you get the settings right, they are also quieter than the Silverstone at max speed, but its difficult to match it up to a motherboard which can get it running at low RPM's, by default the PWM of the Akasa fan is set high and it seems to idle above 900 rpm so its quite audible (this is with Gigabyte motherboards). But if you can get it running at its minimum 600 rpm its very quiet, I think some motherboards such as the Asus boards can use different voltages to match your fan and control fan speeds better. Akasa fan below:
https://www.scan.co.uk/products/120mm-akasa-ak-fn078-slim-fan-designed-for-htpc-or-slim-system
Noctua are currently developing a slim 120mm fan, not sure when it is due to be released though.
BeQuiet don't have any slim 120mm fans, that I am aware of, but their 25mm thick fans are very quiet, especially if you go for the low rpm versions. If you can fit a 25mm fan and your on a budget then the Fractal Silent Series R3 fans are extremely quiet even up to full rpm.
Thermalright do some slim fans, but from my experience they aren't particularly quiet.
Prolimatech have a slim 120mm and 140mm slim fan, I've been using the 140mm recently, although its quieter than the equivalent Thermalright fan its not completely silent at idle speeds, this is running at around 600rpm, but the airflow is good even at this rpm. It is fairly quiet at full rpm as well considering how much air it pushes when maxed out.
I've not got any experience with the Scythe 120mm slim fans, but I've used their 100mm Kaja Jyu Slim, it was OK but not silent.
Gelid have this slim fan, not sure if its any good:
https://www.amazon.co.uk/Gelid-Slim...id=1469520290&sr=8-18&keywords=120mm+slim+fan
Thermaltake have recently released a slim 120mm and 140mm fan called the Luna, they are marketing it as a quiet fan, not sure if its actually any good, but I will be trying it out soon hopefully:
http://www.thermaltake.com/products-model.aspx?id=C_00002614
Deepcool do a 20mm thick fan, if you wanted to shave off 5mm, they say it provides the same amount of air as a 25mm thick fan (ignore the description which states its 10mm thick):
https://www.amazon.co.uk/dp/B00KJF1ZM8/ref=olp_product_details?_encoding=UTF8&me=