Deer. Bear. Upland Game Birds. Waterfowl. Elk. Pronghorn. Wild Pig. Small Mammals. Click to see full answer. Regarding this, what Animals Can you hunt without a license in California?(c) Fallow deer, sambar deer, axis deer, sika deer, aoudad, mouflon, tahr and feral goats may be taken only with the equipment and ammunition specified in Section 353 of these regulations.Secondly, is bobcat hunting legal in California? California Assembly Member Sydney Kamlager-Dove (D- Los Angeles) has introduced Assembly Bill 1254, which would end the bobcat hunting season in California. Current California law already bans bobcat trapping in the state, however hunting is currently still allowed. Similarly, you may ask, can you hunt in California? Hunting in California can be conducted in pursuit of deer, waterfowl, pheasants, bears, pigs, and small mammals. Areas are specific to the type of hunting, and there are many great spots for hunting deer and fowl in California.What do you need to hunt in California? Hunting License Applicants must qualify for the license at a California Department of Fish and Wildlife license sales office. They will need a valid form of identification (a government-issued license or U.S. birth certificate would suffice) and the fees, which are as follows: Resident: $47. Nonresident: $164.