for instance, in vietnam there is no KYC required, but you need a mobile phone and provide your number to receive a code via SMS to proceed or a code to redeem cash.
in europe some BTMs need a phone number as well, but some only give you a printout with a qr code for the receiving address and a time window of 20min to send BTC if you wanna cash out. buying BTC works with QR code scans of your address. i haven't seen any KYC procedures on a BTM yet and wouldn't use one if that would be a requirement.
speaking of vietnam, currently one of the BTM operators is extending their network with +12 new machines.
here is the announcement in case you are interested:
https://bitcointalk.org/index.php?topic=5198437.0i also recommend to check out coinatmradar, it is full of interesting information:
https://coinatmradar.com/I have heard of this too that Vietnam is one of the most friendly cryptocurrency related country and while other countries are lagging behind, they are drastically improving on the use of cryptocurrency, but the use of kyc, in an advanced country like Vietnam, do you know that the number required is a kyc on its own.
Because in my country here, for you to be entitled to a mobile number, you must have your data captured with the mobile telecommunication company in which they can use your number to get every details about you when there is need for it, so having your number on their database will make the authority to know every transaction that occurred and during taxing, they will be able to link it to whichever person they want to link it with.