You can freely use Binance because they don't require their users to verify their accounts, you can deposit and trade as much as you want but there is 2 Bitcoin limit on what you can withdraw per 24 hours, so if you want to increase your limit you may want to verify your account, level 2 will increase your limit to 100BTC per day and higher limit for level 3. and it is always recommended to do it in any kind of trading platforms because it will also add security on your account. I just registered in binance a few days ago, and waiting for my account to complete verifiaction.