ADJ

big-game, deer, fox (also fox-hunting), etc.
He was killed by a lion while big-game hunting in Africa
commercial
commercial hunting of minke whales

VERB + HUNTING

go
Local people go hunting in the woods
ban
Should fox-hunting be banned?

HUNTING + NOUN

knife, rifle
ground
These waters are a hunting ground for sharks
lodge
The king built a large hunting lodge in the mountains
trip
season

ADJ

bargain, house, job, treasure
Archaeologists have called for a ban on treasure hunting in the region

VERB + HUNTING

go
We went bargain hunting at the antique market

HUNTING + NOUN

ground (figurative)
Crowded markets are a happy hunting ground for pickpockets