can you state few of those exchanges that do not require identity verification before buying crypto with fiat?
I use/have used BISQ, LocalCryptos, and Hodl Hodl.
Even decentralized exchanges like bisq aren't completely anonyous when it comes to fiat trades. You will have to provide some personal information such as your name and bank account.
There is an enormous difference between a single individual you are trading with seeing your name and an exchange with an unknown number of employees, unknown security set up, and who shares data with an unknown number of third parties, receiving copies of your passport or ID, selfies, name, address, social security number, and so on.
Still, if even revealing a name is more than you like, then you can buy anonymously with cash in person, cash through the mail, cash paid in to someone else's bank account, anonymous money orders, etc.