Hornyhead Chub
Hybrid Striped Bass
i found there are not that many but there are quite a few is you use the scientific names though :)
halibut
haddock herring halibut
HAKE
Hatchet fish, Horse Shoe Crab
fish
Halibut Haddock Herring Hapuka Shall I continue, or do you think you can Google "Types of Fish"?
Fish is a word that meets those requirements.
Haddock, herring, halibut and hake are four common ones.
Fish Flush Flash Fortieth Faith
Hat starts with h. Horse starts with h.
Uaru is a fish in the Amazon. It starts with the letter U.
Honica starts with a H