Thanks for your reply!

I just checked the FAQ (https://www.kraken.com/en-us/help/faq). Do you know if it would be possible to buy 2 btc with a basic account + a sepa deposit?

I really would like not to submit all the private documents, since I have a bad feeling about how this stuff is stored, and who can access it.


Edit:
The problem I see with localbitcoin is, that if the guy I am buying from (and sending money to via my bank account) does something illegal, I get visit from the police, who asks me, why I sended 500 EUR to this guy.
And when I tell them I bought btc, then think its something you can smoke.