Yes, it does exist! I've seen several versions of what you've described. Here's one - I wasn't sure about your budget. Art & Artifact has one for about $350, and JCP has several, including one on sale for about $200.

Here is a link that might be useful: tall narrow cabinet

Hi Robyn,
This may not be quite big enough, I'm not sure, but the price is right! And I think it's quite nice looking...

I found quite a few (86) at Home Decorators under linen cabinets.
This one is $169, 22" wide, and comes in white also.
Imagine hardware to match your cabinets and wine glasses on the shelves instead of bath accessories.

Here is a link that might be useful: Cabinets with drawers and shelves

I can be....

HERE's the link

Here is a link that might be useful: Tall narrow cabinet

Don't you wish you could search for furniture by dimensions? I'm always searching for a specific size.

My first thought was a narrow secretary-type desk with hutch above. This is probably more than you want to spend but will give you an idea of style and proportions.

http://shop.visiondecor.com/antique-cream-finish-handpainted-english-garden-bombe-chest-hs-4748-893.html

Since you mentioned wine storage, I thought you might also be interested in something like this. You might have luck with one section of modular furniture.

http://www.potterybarn.com/products/p3925/index.cfm?pkey=cbars%2Dcabinets

We have a kitchen cart that contains play-doh, art supplies, puzzles, and plastic cups and bowls for help-yourself snacking. My children have no concept of "close the door gently". Granted, my cart is on casters so it shakes more than a normal piece of furniture, but I might be a little leery of storing wine glasses above it. If that is a concern for you, you could consider two pieces, a narrow chest below and a wall-mounted wine rack/display shelf above. You might be able to find an entry console or even taller-than-normal nightstand to use as the base piece.

This could be a base:

http://elegantfurnituredirect.3dcartstores.com/Powell-Furniture-429-394--Warm-Cherry-4--Drawer-Storage-Chest_p_2204-8042.html

Good luck!
Nin

Y'all are the best. I will show you what I come up with.

Thanks!