http://iscoresports.com/

When a new game is created, by default the name starts with today's date. The field lets you go in and edit it, but if you change that date and finish (so you can get to the next screen) the edit is discarded. The name can be edited after selecting the game in the list of games, so there is a workaround.

This is on the current version of iScore on a non-jailbroken iPhone 3G on the latest firmware.

Just make sure you click the "Return" button in the bottom right of the keyboard after editing the name. We will make it so you don't have to do that in a future version, but that is what "registers" the name change with iScore right now.