For purely files a file share will do, if though you also wish to have a few webpages up then a webhost (which will be like your NTL webspace) will do both (though best to read the small print as some free hosts don't allow files other than standard web pages..
For file sharing there's places like Rapidshare
For webhosts try this site as it lists them all
http://www.free-webhosts.com/