most decorative bettas are going to be the Betta splendens species. many breeds out there based on fins color, and other features, but they are all the same species.
Angel wings looks to be another name for Elephant Ear/Dumbo breed of bettas. they are really cool as their pectoral fins flutter impressively. Nice fish and vase setup
The breed is called that because the pectoral fins are oversized - a bit larger than normal fins should be.