I don't know where you live (Ikea has local lineups), but for instance, where I am (Baltics), I couldn't find a wooden dressing cabinet last week.
We have a lot of solid wood dressers here, this is just a few:
https://www.ikea.com/us/en/p/hemnes-8-drawer-dresser-white-s...
https://www.ikea.com/us/en/p/rast-3-drawer-chest-pine-104847...
https://www.ikea.com/us/en/p/bjoerksnaes-5-drawer-chest-birc...
https://www.ikea.com/us/en/p/tarva-5-drawer-chest-pine-10360...
Latvia: https://www.ikea.lv/lv/products/gulamistaba/kumodes/kumodes/...
Estonia: https://www.ikea.ee/en/products/bedroom/chests-of-drawers/ch...
The Rast and Björksnäs ones are also available, but not the Tarva one.
Selection in Vilnius is very similar as in NYC area, lately.