I will receive some litecoin in the next few days and I plan to exchange them fast without any verifications or pending 2 days new account stuffs, I use in the past bter.com but now I see is closed and even then I had problems with them with delaying withdrawals and so on, is there any exchange which has no verification? binance.com are these guys ok ?
Binance is alright for now. They are probably the most trusted exchange at this particular moment, and currently they do offer an unverified account with acceptable limits. However, we have no knowledge when this policy will change.
Also, just a heads up, with shapeshift/changer.com, you're only losing a little. I think for the convenience and anonymity, it's worth it. You might want to give it a shot. Don't use changelly though as they can ask you for ID, and has done that in the past.
There is Cryptopia which does not ask for a verification (for less than $5k in a day), you can do your exchange with no problem. What I don't like with Binance and the reason I don't use it, is the user needs 2FA or you can't withdraw. It was enough for me to no use it.
I honestly don't know about Cryptopia, as they had deposit issues with GBYTE in the past and has a generally slow support. I think that for OP's purposes, having 2FA is alright.