Rounding table corners without background image?

Live Demo

table{
    background: red;
    border-radius:10px;
    -moz-border-radius:10px;
    -webkit-border-radius:10px;
}

sigh and inline...

<table style="background: red;border-radius:10px;-moz-border-radius:10px;-webkit-border-radius:10px;">

Not really sure what you mean by converting the cell to a div though.

This example will create rounded borders on all corners of 5 px

#example{
-webkit-border-radius: 5px;
-moz-border-radius: 5px;
border-radius: 5px;
}

If you want different rounded borders on different corners, or specific rounded corners modify the below code

#example1{
-webkit-border-top-left-radius: 5px;
-webkit-border-top-right-radius: 10px;
-webkit-border-bottom-right-radius: 20px;
-webkit-border-bottom-left-radius: 15px;
-moz-border-radius-topleft: 5px;
-moz-border-radius-topright: 10px;
-moz-border-radius-bottomright: 20px;
-moz-border-radius-bottomleft: 15px;
border-top-left-radius: 5px;
border-top-right-radius: 10px;
border-bottom-right-radius: 20px;
border-bottom-left-radius: 15px;
}

Check out http://border-radius.com/

Yes you can do this. try the below code.

#example1 {
-moz-border-radius: 5px;  
-khtml-border-radius: 5px;
-webkit-border-radius: 5px; 
}

For more details use this tutorial.