Pretty!

With the classic oak cabs, you can always stain a strip of molding to (almost) match and stick it up. Oak is one of the easier woods to get trim for in all kinds of profiles.

You might not need anything though, depending on how high the cabinets are and if there is seating nearby.

I was kind of considering just leaving it go, would I just grout to the top of the tile then put a thin line of caulk between the tile and the wood?

*I mean between the tile and the wall?

That's what I would do, especially if it's all as even as the ones you showed.