Taking into account verification, deposits / withdrawals, security, volume, fees, and service,
Which exchange can I register an account to complete verification the most convenient, transfer btc to fiat or transfer fiat to btc the maximum efficiency, then withdralal the fastest.
All those factors you mentioned in bold are irrelevant to liquidity of the exchange. The liquidity is purely based on trading volume. Bitfinex has the highest trading volume, followed closely by Bitstamp. Once you have setup an account on either exchange, trading bitcoin for fiat is instantaneous. That's liquidity.
Those other factors such as account verification, deposits / withdrawals, security, volume, fees, and service, make it easier to perform transactions, but technically they don't determine liquidity.
For example, if you were a business owner, and you had 2 million in cash, you would have liquid assets. Now, whether or not that cash was hidden away in a safe or lying on a table in open view wouldn't change the fact that you had 2 million in liquid assets.
I think you're trying to get at something else, just using incorrect wording, in which case you probably may not get the answer you're looking for.
There are two vote, but no one explain why?
bitstamp's verification is the greatest obstacle to hinder liquid and the fee is not cheap, can you explain why you vote it? althrough stamp is a quite liquid in a comprehensive comparison
This just goes to show you don't know what you're asking. Liquidity is not the right word. Barriers to entry/exit for transactions maybe a better way to word your question.
If Bitstamp wasn't liquid, Coinable and Bitpay wouldn't use it as their primary means for exchanging fiat.
You're talking about barriers to exit/entry, not liquidity.