Messy tiling under kitchen cabinets

[tiling help]

I've recently had a kitchen installed and there is tiling up to the extractor fan and cabinets (pictured). The tiles are light green (not as light as pictured) and the grout is charcoal. Unfortunately the grout really shows up how messy the titling looks, especially as it meets the cabinets/extractor fan. I'm trying to live with it (the other half thinks I'm being fussy), but I feel like there should have been a better way to finish this. I would like the appearance to be improved, but I'm not sure what I should be suggesting.

I already asked for some of the other titles to be replaced and they were, however I'm not sure if it's the tiling that is bad here (is it just going to be too tricky to get right?) or there is simply another way this should be finished. I'm happy with the overall look, but I feel like the top edge just looks sloppy. Thoughts?

 

[Adamskionline]

Shouldnt be too tricky to make look nice - take as much of the grout off the face of the tiles as you can with a stanley knife or sharp scraper which may have it looking better already, but then a really tidy - and it HAS to be tidy - bead of Silicon will provide a good finish. Mpst grouts have a matching colour Silicon nowadays

 

[tiling help]

Shouldnt be too tricky to make look nice - take as much of the grout off the face of the tiles as you can with a stanley knife or sharp scraper which may have it looking better already, but then a really tidy - and it HAS to be tidy - bead of Silicon will provide a good finish. Mpst grouts have a matching colour Silicon nowadays

Thanks! It might not be obvious from the photos, but the areas where the grout exist currently are mostly where the tiles are cut/missing glazing, so if I remove grout there would be unglazed tile edges/chips and a gap at the top of one of them. Maybe it's really that the tiles are poorly cut? Here are photos. I think if I remove grout I'd see the roughly cut edge, though maybe silicon would hide this to some degree?

 

[Dave]

It should be siliconed, not grout.
The thing is with dark grouts and those types of tiles is it clings to glaze chips from cutting. Silicon will be a neater finish