There are companies that can stain your cabinets to match your island but if you've already decided to paint; I would choose something similar to the grout color. It's difficult to determine colors from online photos but it looks like a gray or taupe? A shade of taupe would go with your island, counters and backsplash but not sure about the wall color?

Honestly you can't go wrong with white. Especially if you are looking at resale, it is timeless. People ask if it's going out of style and I just laugh. If resale is not anything you are looking at be bold and maybe find a pastel or grey tint of a favorite color. Light or even medium grey would also work well. Don't worry about it being to white, it will make all the other colors and details of the tile and appliances stand out. Just an attempt at my best answer with limited information of your home, family , location ,etc. I like to go with my gut and be bold with colors occasionally but it all depends on if you view your home as someplace you will hopefully never leave or an investment. It can be a very hard struggle making design decisions when, how you view your home can be in limbo between the home or investment.

Stain them the same color as the island.

Your white pantry door looks fine, so I'd lean that direction. But you could do a cream, taupe, or several grays -- just keep some contrast between cabinets and backsplash so that it doesn't all blend together.