The tundra, compared to other biomes, is an extremely cold and dry environment that holds little vegetation but a variety of animals. If an organism were to live in this environment, it would have to be able to withstand the cold climate and be able to live off something that isn't vegetation. Animals might have to become stronger and grow more fur or feathers. If these animals were put in a warmer climate with this adaptation, it'd be too hot to survive and would probably die quickly.
A tropical forest, compared to other biomes, has a mild climate and lots of rainfall, as well as a variety of plants and small animals. This biomes soil is also acidic to plants. The plants and animals that live in this environment would probably have to be adapted to the higher temperatures, lack of light, lots of rainfall, and the possible competition that they have with other animals. If you were to put a plant from the tropical forest into a dry, bright environment, it wouldn't be adapted to the lack of rainfall there and wouldn't be able to either store it or save it.
The savanna, compared to other areas, is a very warm and slightly dry area, that has many different types of animals and plants. Adaptations that would suit this area would probably be being able to withstand a warmer, dry climate, have some kind of defense of attack trait because of the number of animals and competition, and possibly be able to eat plants/grasses. If these animals were to be put in another biome, such as a tundra, it wouldn't have as much hunting adaptations and because there's very little vegetation in that biome, it wouldn't have much to live off of.