You can easily convert btc without verification but you will have limits or the way you receive money will require verification like paypal, neteller or etc but with low money that's ok. What about bitcoin ATM's?
Also you can trade with people here. Use paxful - they don't require verification.
But I think the best way could be localbitcoins or any other small exchangers.
I've never used a bitcoin ATM, but have heard/read that anyone buying from bitcoin ATM must provide ID.
It is not always the case with ID verification, though it happens often enough, true. There is this webpage
https://coinatmradar.com and they try to provide current info of whether the given ATM is operational and if it requires identity verification in order to make purchase or sale. The key word here is *try*