for btc market i think btc-e is best one. no complicated verification and many form to filled.
and for altcoin market i think most of exchange have no complicated verification. like bittrex, c-cex, poloniex, yobit and etc.
usually only use email address and password. and for more security better use 2fa like GA or authy
Based on their website,
Identity verification
Required in case you choose to load your account by wire transfer.To comply with AML/CTF recommendations, we require our clients to verify identity by providing scanned copy of ID and scanned copy of utility bill or a bank statement which should not be older then 6 month. Copy should be in good resolution and colored.
It is only useful if OP isn't using wire transfer. The best bet would be localbitcoins, it doesn't usually require much verification to buy/sell BTC.