There are way too many variations for me to share them all here, so I recommend checking out the Wikipedia page that gives a great overview of dumplings and their origins. I will share a few kinds of dumplings that I have made, and the root of their inspiration.
French toast Dumplings
These are one of my favorite treats I have ever come up with. Check out the recipe here. I am not sure what dumpling to compare this to, it is derived from me making strawberry and Nutella dumplings that are deep fried, that I decided to amp up by making the wrap out of cinnamon roll dough. If you have a good comparison, please let me know!