Do you know any exchange which accepts fiat money deposits without asking for KYC and AML procedures? I know only virwox but their fees are outrageous...
Most regulated exchanges will be legally obliged to ask for your KYC, which is why you see so little options when it comes to this.
The only two options that I would say is viable for you is Localbitcoins/Paxful/any other p2p trading site, or an exchange on bestchange.com which may not be as trustworthy as the major ones, but will usually offer certain trading pairs without the need of verification.
Again, you're not going to get good rates. Expect a 5-10% cut at least, but if you're buying with cash deposit on Localbitcoins this spread could be lower. It's certainly a lot lower than Virwox after all the fees, though.