I found the following discussion on Blue Star Creeper. After reading through it, I'm not sure I'd want to plant it. I'm fighting enough invasive plants as it is.

Here is a link that might be useful: Northwestern Gardening Forum

Thanks for the link. Looks like I won't be planting Blue Star Creeper :) I actually wouldn't mind it taking over the grass, because alot of it has died out and I think I actually have more weeds than grass now. I have one flowerbed though that I wouldn't want it to take over. So, does anyone know anything about Veronica (speedwell)? I was originally thinking of thyme, but someone on the perennial forum said it attracts bees.