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Easiest way to diversify savings
You can apply for Foreign currency accounts. But they aren't saving accounts by any means, but more like current accounts. Taking money out will involve charges. You have to visit the bank website to figure out what all operations can be performed on your account. Barclays and HSBC allow accounts in foreign currency. Other banks also will be providing the same services. Are there banks where you can open a bank account without being a citizen of that country without having to visit the bank in person Depends on country by country.  Are there any online services for investing money that aren't tied to any particular country? Get yourself a trading account and invest in foreign markets i.e. equities, bonds etc.  But all in all be ready for the foreign exchange risks involved in denominating assets in multiple currencies.