Account aggregation platform Yodlee have produced an infographic showing the history and evolution of online banking.
Interestingly, they trace its roots back to 1983, when the Bank Of Scotland started to offer Nottingham Building Society customers the “first internet banking service”. Known as Homelink, this service connected via a television set and a telephone (thanks to the Post Office’s Prestel set-top box service), and could be used to make money transfers and pay bills. Pretty much the genesis of what we can do today.
(Click to a larger version of the image)