For a border around my table, I just want a single straight outline around it, so I used this code style="border: 1px solid #A1BBD0" and it worked. But when I added in a background colour for the row, there's an outline around the inside rim of the border where my background colour shows through. I don't know if I'm explaining it right, but here's the URL to my page.

http://home.neopets.com/templates/homepage.phtml?pet_name=Auqua898

I know that some codes on Neopets is different, but I don't think it matters when it comes to tables.

Does anyone know how to take that space away?

You have border="1" for your images, try making it make it border="0"