I have a vintage / country style and while it might not be quite the farmhouse style you want, there are some things I did which might be something you could think about. I did not paint my cabinets, but what I did could be done with stained or painted cabinets.

First, here is my kitchen:

https://www.houzz.com/photos/my-pics-work-in-progress-phvw-vp~93784356

https://www.houzz.com/photos/my-pics-work-in-progress-phvw-vp~93784291

Several years ago I redid my range hood. You could do a wood hood with insert as I did or a metal vent - if you have lots of $$ in the budget, copper or other unusual metal. I've seen both of the below styles in unfinished wood, and various wood species:

Wood Hood:

Mantel style:

I love this vintage hood, but its expensive:

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If you switch to stainless appliances, a stainless hood is not very expensive - depending on the style and size.

At the same time I did the hood I added the plate rail. There are kits for that and just ask if you want more info. You could add a plate rail to the bottom shelf of the open cabinet.

Wall hutch - one style:

A few years later I did the countertop, sink and backsplash. The sink is the Kohler Whitehaven "short apron" style cast iron farmhouse sink, which can be installed on a standard sink base cabinet with little modification. It also comes in a "tall apron" style, but that requires a farm sink base cabinet or a lot of modification of your cabinet including new doors, or you could curtain the cabinet. Going with the "short apron" style is more cost effective, though it is a more vintage/ farmhouse American look than European butler sink - the inspiration for the tall apron front sinks.

I also very much like my cream subway tile backsplash. If you keep the wood, keep the backsplash simple.

If the green cabinetry is included, you can display some stoneware or other collection to add to your style. If not included, a similar wall hutch would be pretty. I have my Amish pie-safe which adds extra storage.

I love my hardwood floors. They are old fashion 2 1/4 oak, but it's a floor found in homes over a hundred years and can be refinished many times. It is also one of he more affordable hardwood floors. Not trendy, but timeless.

You are probably considering painting the cabinets. It can be expensive to have professionally done, and a great deal of work to do it right - don't do it right and you will have cabinets that look poor in 6 month to a year and have to start budgeting for new. You might want to consider starting with just the island - possibly a gray/blue or green. White on the island would also be pretty, though subject to scuff marks. Beadboard on the back and sides of the island would be a nice farmhouse touch. Here is a blue/gray island another Houzz poster did in a wood kitchen:

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I do like my white trim, so painting the trim white will brighten the space, but not necessary if you prefer wood. If you stay with the wood cabinets, a light cream wall color - not with the yellow as in your pic, but more white or with a hint of beige, or a green with a touch of gray - a little sage would be pretty. Cool grays and warm woods do not bring out the best in each other - can be a bit drab. If you must go gray, a barely there gray may work with the warm wood.

Jenn Roney, one of my favorite farm house projects used American White Oak flooring in a light colored finish. It helps the rooms to feel larger and also works well with many kinds of cabinets.

Wide Plank White Oak Wood Floor in Nashville TN Modern Farmhouse · More Info

Wide Plank White Oak Wood Floor in Nashville TN Modern Farmhouse · More Info