For those who want Anti-Aliasing and Anisotropic filtering all the way up to 6x and 16x, follow these instructions.
Open Catalyst Control Center, and make sure that you turned switched it from basic to advanced. Also, make sure you have Anti-Aliasing and Anisotropic filtering turned all the way up.
Click the Maximize button for 3D, then look for a tab called 'API Specific'.
Check 'Alternate Pixel Center'.
No more ugly grid lines.