Answer:
Here are the appositive phrases in each sentence:
1. The lanternfish, **a fascinating deep-water creature**, gets its name from its ability to give off light.
2. Jazmine has trained her cat, **a very intelligent animal**, to roll over on command.
3. Marco had forgotten the most important item, **his ticket to the hockey game**, even though his dad had reminded him.
4. Cherry, **one of the most valued of hardwoods**, is used to make high-end furniture and cabinets.
5. During the halftime show, the marching band played "Cougar Pride," **the school's fight song**, to the delight of the crowd.