I don’t feel a prospective buyer would worry about one cracked/broken tile to be honest. Nowadays people usually update a new home to their own taste. I would remove the tape unless it is a trip hazard as that will only make it look worse.

We're doing a total ground floor renovation on a late Victorian townhouse in London and I'm attracted to the idea of using tile in the entry hallway - maybe something light and/or colourful to lighten up the space, which will be dark. I also want to tile the walkway up to the house at some point in the future (when we have recovered financially from the renovation!) Thinking ahead, should the tiles match? I like traditional Victorian encaustic tiles for the outside (e.g the Lambeth pattern in beiges and blues), but I was thinking of something more modern/maybe in gray and white for the hallway. Should they match?

My bathroom looks to be about forty years old, judging by the dated tiles. The tiles are awful, but the shower grout looks fine! If you like the small format tiles, I wouldn’t necessarily assume they can’t also go in the shower.

Maybe some kind of tile trim? Most of them fit half under the tiles to secure them. Or plastic strips like window fitters use to tidy up gaps. Something like this but tile shops will have a selection.