If you are not getting new cabinets, I may suggest just paining the Island Overall, I like the wood. Some may say, get new lighting or replace bulbs. As for colour, a warm white would look good.

I wouldn't bother painting the cabinets. Paint the wall a warm white. Send the valance to the Smithsonian. Make sure you have bright LED lights. If anything, I would switch out the countertops to something light and luminous.

Take a closer picture please.

Is the red backsplash just paint? If so, I would change that first and also, replace the valance and spot lights.

Painting cabinets (professionally) is expensive. So, I am going to suggest you do not paint.

Low light room:

Paint the ceiling B.M. Lookout Point. You have good lighting and the color has a higher LRV. (Ask for a soft-gloss finish).

Change the hardware on the cabinets to brushed stainless.

Wood is back, as well as warm tones. Grey is over. The colors in your house are fine. However, if you would like neutral, I would suggest you look at the warm whites. Benjamin Moore’s Ballet White is a nice, versatile color. I like BM’s Natura Line.

I would definitely not paint the cabinets. The best money you could spend is enhancing the lighting. Definitely bring in under cabinet lighting if you don’t have it. Perhaps modify the recessed a bit, maybe a few less cans as well as smaller ones. And consider bringing in pendant light(s) over island - or a low profile chandelier.

I would suggest a light colored bamboo or woven wood shade for window. Alternatively, any color in a simple Roman shade. And perhaps consider dark hardware for cabinets; it is a popular look and would tie in with the granite.

I would sooner change the dated speckly granite before painting the cabinets, which look very nice. You could change out the hardware for a new look rather than spending money to paint the cabinets to match the granite. Kind of throwing good money after bad. Either soapstone, honed Jet Mist granite, or white quartz would look great.

Also keep in mind your comment about warm colors livening up a north exposure. The popular cool colors may not work well with the existing materials. Perhaps select a warm neutral to update it but still provide warmth. Something with a yellow or green base, but toned down. Try Shaker Beige, Waterbury Cream, or Monroe Bisque (Ben Moore Historical Colors).

I think you could do a white Corian for the counter and not paint your cabinets and that would look nice and be cost effective. I think it would better enhance your kitchen for a future sale vs dated granite and painted cabinets. If you can’t change the counter I still wouldn’t paint the cabinets... maybe use the money instead to add glass to some of the uppers, remove the 4” backsplash and add something simple in the lightest colour from you granite.

https://www.clare.com/paint/wall/timeless

Creamy warm undertone, high LRV