Using ssl means that all the data that you send to the site and they to you is encrypted, usually as 128 bit or 256 bit.
This is the same level as the miltary use, I think.
You are much more likely to get your cheque book stolen along with your bank card and credit cards I should think than for anyone to access your online account.
I do have a very clever little program called Win Spy that can be installed on a pc without the owner knowing its there, which would allow me to log all your key strokes and also take screenshots at whatever interval I wanted to set it at.
A friend once said that the way his bank had set up on line banking, Barclays I think it was, that his account was safe as it didnt ask you to type in the second and fith letter etc of your password but had you click on a drop down menu instead.
With his permission of course, I installed winspy and left the room and asked him to log in and then out again.
5 minutes later I was logged in on his account
I needed access to his pc to install the program but I suppose it may be possible remotely but youd be very unlucky to get caught if you kept your firewall secure and your AV up to date