Here, there are some sites that achieve credit cards to be used for payment to buy BTC and probably several cryptocurrencies. And they are available without ID verification.
1. Switchere
Can use a Credit card, visa, crypto, and other cards instantly even without ID verification.
2. Localbitcoins: P2P marketplace, can buy and sell Bitcoin is fast, easy, and secure near you in the worldwide.
3. Coinmama: You can buy the crypto using your credit card, but it needs verification.
Why do you search for the exchange that doesn't need verification ID? I think that those with KYC verification may offer more secure transactions. But, of course, it will also depend on the exchange itself. BTW, is there any local exchange in your country?