All white. Definitely matte or satin.

How much natural light is there? Can you post a pic of the space?

We have a slightly lighter coloured slate which budget didn't allow me change. I chose all white matt cabinets with Ceasarstone Frosty Carrina benchtops. My cabinetmaker tried to persuade me to change my decision but I went with my instinct and what I love (white kitchens). Our walls are white and we have lots of natural light which also affected the decision. I found the most difficult choice to be the type and colour of the back splash. I eventually went with a small hand cut subway style tile in what I would call a brownish grey, depending on how the light falls on it. It tones in well with the slate and the hand cut edge references the slate edges. They were laid in a herringbone pattern with the angles referencing the slate, which is laid diagonally across the room. I mention all this as the flooring did influence my decisions with the kitchen. Have a think about what sort of back splash you want and the colour. It could be a starting point with choosing your cabinet and bench top colours. (By the way I absolutely love the finished kitchen!)

I would dig up the slate!!!! I've done that twice before and replaced it with boards, the kitchen then becomes so much easier to design (colour wise) plus its so much nicer underfoot, slate is terribly cold and uneven. And don't glasses just SMASH!!

If you're keeping the slate &, depending on the layout of your kitchen, natural light etc, suggest that you keep the benchtop very plain ie. not a highly patterned Caesarstone or other brand of reconstituted stone marble lookalike as there's already a lot of colour & pattern going on in your floor. If you're having an island bench consider a very deep blue to charcoal colour for the cabinetry then your other wall attached cabinets in a soft white. Wooden bench tops complement that type of slate but if that's not an option or you don't like that look consider Caesarstone Tuscan Dawn (with satin brass taps).

I agree with Liz above. In my opinion it is hard see how anything will be with slate.

Think like an architect and work with the slate the following

We have the same slate floor tiles. We went with all charcoal laminate cupboard doors with Tasmanian oak benchtops and we love it 2 years later.

I agree with Siriuskey. White or grey cabinets with a timber bench top would be lovely. It's your personal preference if you want to keep the colours light or go for a dark and dramatic kitchen. Either way try to not have heavily patterned materials as the colour and pattern in the slate is dominant.

Looking at that it appears much darker than the previous photo, I would go with white or soft grey cabinets with light timber or white bench tops, and I would also paint the timber door frames same as the doors. Any chance of a skylight in the ceiling

White-matte cabinets (flat panel, not shaker) and white bench (or maybe epoxy sealed marine ply??...siriuskey can tell you about that), mirror splash. Love the ceilings. I personally would go for a modern, stream-line, no handles, integrated appliances look. This space has real potential to be very cool, even with the slate. It doesn't need any more more texture or darkness.

This is a nice kitchen, you should be able to sell it on ebay.

white cabinets, white, grey,browns coloured benchtops

Mel n, we went with ordinary ply for bench top, marine is very expensive and as you know we had a 2700 x1200 island, love it cheers.