A different take here.....
It looks like you are using a ceramic tile. Every cut edge on ceramic tile is sharp, whereas the factory edges have some radius on them. If you use a stone tile, whether granite or travetine, you can restore the radius and give a finished edge to your cuts.
If you use travertine, you can finish it with a router. I am doing quite a bit of tile in my new house and I am wrapping up the base boards and onto the windowsills. My tile guy about fell over when I said "use a router", but it works like a champ. Adding a bullnose is simple, as is cutting around drywall corners. Here's a shot before it was grouted:
