That looks like our bathrooms! Both have brand new Daltile hexagon in them. One is white with black accents, the other is 2X2 grey hexagon. Could you possibly one day replace the plumbing from a ceiling underneath? That would be cheaper than ripping out tile. I'm not suggesting replacing perfectly good plumbing, but galvanized steel (esp. the hot water supply) is notorious for causing problems down the line. Just keep it in mind as you move forward. If you do repairs yourself, it's probably not a big deal, but we had to hire a plumber twice to the tune of at least 1K when all was said and done. And we were just delaying the inevitable. In hindsight, I wish we had just gutted it earlier.
What's your stack like? Is it PVC? Cast iron? We just had to pull out a 1920s original cast iron out of the plaster dining room wall which was also carved into the exterior brick. It had a huge (ca. 1/8th inch) crack in it. Egad!
Ah, the joys of old homes. If your home is older, the tile might not be salvageable due to the house settling. Our original marble hex had huge cracks in it. It was painful to throw it out, but we didn't have a choice. We ended up leveling the floor and getting a whole new subfloor. Now the toilet doesn't slope, which is nice.