Each person should have the right to their own privacy. Fortunately, many anonymous cryptocurrencies have appeared. Unlike Bitcoin, which is not like that, you can simply track transactions. Bitcoin mixers can also help get anonymity. There are many of them, so you can safely find the one that suits you.
All the methods described above don’t require you to use an ID verification to buy bitcoins, but even still, with more sophisticated techniques, you can be tracked. Sometimes you can be identified by your IP or through the private wi-fi which you are using.
Or you might accidentally disclose your Bitcoin public address online somewhere. Or a seller might track you down from your mobile or vehicle number when you did your face-to-face fiat/Bitcoin deal with them.
Hate to be that guy doing the shameless plug. But go check out https://local.bitcoin.com - you can buy BCH anonymously using that platform. Just be sure to use a trusted payment method. Cash is best, bank deposits as well. If you're going to use more risky payment methods just be sure you look into which ones are reversible.