But this only shows the total amount of Bitcoins ever sent to a particular address?
It doesn't seem to be accurate, because I have a specific amount of bitcoins on one of my addresses and it is not on the list (and it should be).
Hmmm... how long have you had your balance? This list was based on a snapshot of data that is approaching being 1 day old, so if your balance is recent it will have been missed. Also at the time I take the snapshot I ignore the most recent 120 transactions. Does your balance show correctly on blockexplorer.com? If you don't mind letting me know your address via PM I'll take a look through my code and see why it got missed.
Oh, sorry. My balance changed today a few times so this wouldn't be included yet. It's okay - my address is there with an older balance. Sorry for that.