https://www.netbank.nordea.dk/netbank/index.jsp
Hmm, that URL shows a misconfigured server (HTML pages being parsed as text- JSP pages are like ASP or PHP, the language is server-side which sends HTML pages with dynamic content). Going to the domain name itself without any further directory/file reference gets me a foreign-language site which appears to be working ok, but because I can't understand the language I can't find the online banking section.
The second site mentioned, BG Netbank or something does appear to require Java, though I just get a blank page, so I can't be sure about that. Loading it in Mozilla just gives me a blank page, usually there would be an applet window saying that the JVM plug-in is required, and in IE the page just times out :-)