Internet banking is perfect even for the most cautious investors. You can do online stock investing with several online brokers, but for internet banking is done only by authorized banks.
With the security and low risk of a regular banking investment, online internet banking has all the advantages internet investing has to offer. There are several 'pure-play' internet banks though - these are banks as far as regulatory requirements and licensing, but have a model built around the internet allowing them to cut their operating costs substantially, and pass off some of this to their clients, in the form of lower commissions and fees and higher interest paid on different investment vehicles.
While the best online forex sites offer the highest return on investment, online internet banking offers the most secure and safe online investments. You returns may not be as big, but you know exactly what you will be earning, and this added security has a value of its own.