You should buy bitcoin from another person (peer-to-peer) if you want to buy bitcoin without KYC.
You can buy bitcoin directly from someone that owns bitcoin and that is willing to sell you some. You can buy bitcoin from someone that you meet at a Bitcoin meetup that is willing to sell you some bitcoin. You can buy bitcoin from a bitcoin seller that advertises on a classified ad website like Craigslist or Gumtree. Or you can use a peer-to-peer cryptocurrency exchange to easily find someone that is willing to sell you some bitcoin.
Bisq, RoboSats, Hodl Hodl, AgoraDesk, and LocalCoinSwap are some of the peer-to-peer cryptocurrency exchanges that make it easy to find someone to buy bitcoin from (peer-to-peer) without KYC.
Bisq is a decentralized and open source peer-to-peer cryptocurrency exchange that does not perform KYC. Bisq is decentralized, so you have to run the Bisq application on your computer in order to buy or sell bitcoin on Bisq.
RoboSats is a peer-to-peer bitcoin exchange that does not perform KYC. RoboSats has Lightning Network integration so that you can deposit and withdraw bitcoin over the Lightning Network.
Hodl Hodl is a peer-to-peer cryptocurrency exchange that does not perform KYC. Hodl Hodl has Lightning Network integration.
AgoraDesk is a peer-to-peer cryptocurrency exchange that does not perform KYC.
LocalCoinSwap is a peer-to-peer cryptocurrency exchange that does not perform KYC.
All five of these peer-to-peer cryptocurrency exchanges that I have listed do not require you to provide them any of your personal information in order to buy or sell bitcoin. Many of the bitcoin sellers on these peer-to-peer cryptocurrency exchanges do not request any of your personal information when you buy bitcoin from them. But some of the bitcoin sellers on these peer-to-peer cryptocurrency exchanges do request your name/ID when you buy bitcoin from them because of certain laws/regulations or to help prevent them from getting scammed by fraudsters paying them with stolen accounts.
Many bitcoin ATMs do not request your KYC info when you buy less than a certain $ amount of bitcoin at a time, but all bitcoin ATMs do have a camera in the front of the machine.
Here's a reddit post on that: