If you want to use WordPress for more of a static site that is updated infrequently removing the dates from your theme could come in handy. To remove the date you need to find where the date is referred to in index.PHP and remove that line. It will probably be a line between 2 div tags that refer to a date in some way.
Also remove the date instances in single.PHP and archive.PHP. If you are afraid of removing the wrong thing and ruining your theme. You can use comment tags instead. This will make the lines still readable but whatever is between the tags won’t run.
<?php /* These tags can be used to comment something out in PHP */ ?>
Now for the Good news. I just discovered a Date Exclusion WordPress Plugin over at Daily Blog Tips. This just might be the answer for those of us who don’t feel completely comfortable poking around in our themes code. I haven’t used it yet. But it might be the safer option I’ve been looking for.