Localbitcoins is one of the oldest markets to buy/sell BTC, and perhaps one of the last places where you can get your coins anonymously.
The platform has responded to the EU's anti-money laundering pressure "Especially the Finnish Parliament," although details of the verification have not been made clear,
the platform will hurt to sacrifice some privacy.
As announced earlier, LocalBitcoins is working on improvement measures that will allow us to provide a safer and better service conforming to the regulations. On Monday 18th March, we have launched a new account registration process where users can verify basic information already during sign-up, making it easier for the newcomer to find trading partners from day 1 and increasing the number of suitable customers to advertisers as well as inhibiting the creation of illegitimate accounts.
Since this was requested by the EU's Anti-Money Laundering, nothing should be regretted because they are strictly following instructions in regards to the ongoing regulations. Sincerely speaking, basic information from customers could be okay from Localbitcoins than the strict KYC which has been done by many other exchanges.