bear, fox, seal, tiger, etc.

go on, take part in
She had never taken part in a fox hunt before.

follower, supporter (both BrE)
Hunt followers deny the sport is cruel.

saboteur (BrE)
clashes between hunt supporters and hunt saboteurs

meeting (BrE)

massive, nationwide (both esp. BrE)
Police launched a nationwide hunt for the woman.

police (BrE)
murder (BrE)
Police forces in five counties are now involved in the murder hunt.

scavenger (esp. AmE), treasure
job
witch (usually witch-hunt)
The investigation turned into a full-scale Communist witch-hunt.

begin, launch (esp. BrE)
A massive police hunt was launched for the missing child.

continue
Police are continuing their hunt for the arsonist.

lead (esp. BrE)
Detectives leading the hunt for the killer believe he may be in hiding.

join
step up (esp. BrE)
The mountain rescue team is stepping up its hunt for the missing climbers.

call off (esp. BrE)
The hunt for survivors has now been called off.

begin, be on
The hunt is on for potential employees with experience of electronic publishing.

continue

hunt for