Omega Cabinets, the Jax line. But I hope your budget is big. As you've found, most slim Shaker door styles are done in a painted finish. If you want wood in that style - and white oak at that, one of the most expensive woods there is - you will have to pay up. If you do not have a big budget, then choose the painted doors like Shiloh Eclipse Napa.

Also in that photo you linked, please be aware that the base cabinets that you like in white oak have two features that add enormously to their cost. One is that they appear to be rift-cut white oak rather than plain-sawn. The other is that they appear to have been either cerused or lightly bleached to be that color.

https://www.omegacabinetry.com/products/jax

If you are close to Iowa, contact Jeff Bellows. He does frameless, and slim shaker white oak. Not going to be anywhere close to Ikea pricing. Or quality. He doesn’t often finish in shop, but has the setup, and can. Finishing, by anyone, adds another 50%-100% to the costs. http://www.jeffbellowsconstruction.com/contact-us

https://www.facebook.com/jbellowsconstruction?mibextid=LQQJ4d

"i am looking for white oak slim shaker style (if thats what this is called) cabinet doors for my kitchen, ideally to fit ikea cabinets but not required."

"the standard shaker is too traditional for our style"

Scherr's makes doors specifically for people buying Ikea cabinets. I'll link below their page where they discuss how to send them the Ikea planner with your design. Scherr's makes a slim Shaker style door that you want. However, you'd need to compromise on the wood finish and get painted.

Or you can get the finish you like of the rift-sawn white oak, but you'd need to compromise on the slim Shaker and get slab front instead (door style #125), since you don't want a traditional style. The cerusing shown in your photo is for when you have $75-100k to spend on cabinets.

As already said a lot here, what you want in your inspiration photo can only be had for a ton of money. What is your budget? We are just throwing spaghetti at the wall to see what sticks since we don't know your budget.

I'll post your inspiration photo for you since it's annoying to have to click on a link, and also some people don't like to click on an unfamiliar link ("hejdoll") for malware reasons.

https://www.scherrs.com/contents/en-us/d88_Working-With-IKEA-Products.html

https://www.scherrs.com/contents/en-us/d113_Shaker-Slim.html

https://www.scherrs.com/contents/en-us/p424_Veneered-Wood-Slab-Doors.html

https://www.scherrs.com/contents/en-us/p192.html

YOUR INSPIRATION PHOTO:

Pick a more affordable inspiration, or pick a different budget.

Boxi is just Semi Handmade with delusions of grandeur and even poorer quality. Total crap quality thermofoil. It will start to peel before the year warranty is over, and they won’t do a thing for you. Their veneer quality is even worse, if possible.