I've been working a lot of research and as I was suggesting in an earlier entry, many resources are no longer free. The good thing then, is that National Library Board has a eResources site that provides free access to important journal and publications databases. You just have to register an account, which is free. And then you can use their search system that will aggregate search results from multiple databases.
Alternatively, you can use the NLB eResources site to go straight into a single journal database. My favourite is JSTOR where they hold old journal articles and research papers on a huge variety of subjects. I've successfully found famous economics papers there and looked through some of them. They are particularly useful for academic research and if you're keen to find out more about some papers Tim Harford read while writing his book, Logic of Life, you could search for them there too.
For Statistics, you would be glad to make use of Google's Public Data sets, a tool very much in its preliminary stage of development. For more sophisticated and complex data there's OECD Stats, but mainly focusing on OECD nations. There's Eurostats of course, and both World Bank and IMF provides extremely useful data to the public.