How do I find another wine like the one I had?

I found a website with this description of how the wine is produced and what it tastes like:

Maybe this helps find something similar? Does anyone know of a wine with a similar production process?

In your case, you’re looking for something called a “Muscat white red stone” type of wine, which from what I can tell, is some kind of dessert wine.

I concur with @pulykamell’s Tokaji suggestion. They’re a lot like you describe, and so are the Vin Santos from Italy.