Can't see your links. But how about you go for a traditional style but with two finishes - maybe one wood and one painted and experiment with which mix looks best. Would also go for either very simple chrome or pewter finished handles and chrome taps. You could also have a look at some of those snazzy extendable taps to distract from the ceramic taps! Otherwise may be a glass or stainless steel splashback? Or rectangular / brick shaped tiles. Clever lighting would also make it all look quite snazzy (I like blingy downlighters - or maybe a feature glass pendant over the table?). Agree limestone might not be the best floor finish.
my dp is a bit country.I am having white units oak worktops stainless steel range a bit of exposed brick and a very modern sofa but a traditional refectory style table with more modern heals style chairs.Floor plain black tiles and modern art .Am considering wallpapering two alcoves on a white and green bamboo design paper as the are opposite big windows but not sure yet!You can mix the 2 if you are clever ande he will be none the wiser
We have a cream shaker-style kitchen but it looks quite modern due to the style of handles (Ikea Varde I think), stainless steel sink with modern taps and worktops are a combination of oak and stainless steel. (Also have stainless steel appliances).
For your magnet one, just changing the handles would make a big difference and maybe see if you can get plain end panels rather than tongue and groove?