1. Travel mount: Wyvern are very fast in the air, although their speed has slowly become irrelevant with the addition of even faster and more efficient travel mounts such as the bloodstalker and tropeognathus.
2. Wyvern killer/nest raider: Of course Wyverns can kill other Wyvern, just be careful not to get overwhelmed by a swarm.
3. Giga killer: Wyverns can easily kill gigas from a safe distance due to their ability to fly and ranged attacks.
4. Boss fight dino: Being the most powerful flyer, wyverns are often your best option in any boss arena that allows you to use flyers, although they might be outclassed by Tropeognathus in the desert titan fight.
5. Dino carryer: Like the quetzal, wyverns can carry fairly large dinos and drop them into pens for taming, although the task is a bit more tedious due to the wyvern's shifty turning radius.