I have researched this and HSBC is one of the brokerage firms that has an international desk. I looked at the other discount brokerages (and one would think that the big banks would have an international desk).
So to answer your question, open the discount brokerage account from HSBC and then you will have access to buy stocks from the London Exchange!

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I would like something simple and easy (and legal and legitimate, i.e. something like Etrade) to allow me to easily buy and sell from Canada. Thank you. And please, no spam.