Personal bank account with legit EEA bank

Hello,

I am looking for personal bank account with high transfer limits and with a personal IBAN number. I am a EU resident (Bulgaria). Can you recommend me a bank that offers such services? I tried fidor, but their site is only in German, dealing with google translate is a bit of a pain and I don't know about their reliability. If I have to visit to open the account I can travel in the EU.

Thanks.