Based on the classification diagram provided, the two groups of organisms that share the most similar DNA would be turtles and frogs.
Both turtles and frogs are classified as cold-blooded vertebrates, and they share a more recent common ancestor compared to the other pairs of organisms listed. The other comparisons (warm-blooded and cold-blooded, bears and salmon, vertebrates and invertebrates) involve larger and more diverse groups that are less closely related genetically.