Bitcoin exchange without KYC verification
Many exchanges require KYC verification only if wire transfers are involved.
If only crypto is traded (i.e. Litecoin => Bitcoin) there is no requirement for verification.
Some exchanges also don't require KYC verification if e-money are used (like PerfectMoney, PaySafeCard, SolidTrust Pay).
Also, there are many "e-money exchanges" that do not require verification if you use their services to trade e-money and/or cryptocurrency.
Verification is usually required only when using insecure payment methods like PayPal or SWIFT/SEPA wire transfers (because banks require KYC verification).
If you want reliable provider of debit card for withdrawing your Bitcoins at any ATM: