Citibank UK, Euro current account... free SEPA transfers to Eurozone countries. Free account, no minimum balance or income. Some parts of Citibank's website says that they cost 10 pounds, but they're really free (they got threatened for breaking SEPA rules and had to back down). You also get a debit card for Euro purchases. Or open a Citi Euro savings account... no credit check but no debit card.
Transfer Euro cash from other accounts, pay in notes at their branches in London, or open a Citi GBP account and transfer funds between (2-3% exchange rate load).
Theo