With proper bullet construction and weight you can take anything in North America with a .35. Its not the best choice for everything but it certainly is capable.
I am rather fond of this cartridge as I inherited a 1925 model Remington Gamemaster pump .35 that had been in the family two generations prior to me. The gun no longer cycles and I dont have the spare money to take it to the smithy, but that is a goal of mine. But for years the gun worked fine in my possession and I had some very enjoyable hunts with it.
I just ran open sights on it and used only Hornady 200 grain leverevolution ammo. I only hunted hogs with it and it would tear them up. It put huge holes in every hog I shot with it and most of them anchored immediately, but for the ones that didnt they never made it far and they were very east to track. Because beside the considerable blood trail alone there were pieces of bone, tissue, muscle, and organs along the blood trail. That .35 BY FAR made for the easiest blood tracking on hogs than any other gun I have wounded a pig with. All other calibers its rare that I will ever get a blood trail, like I havent had a blood trail on a wounded pig in about 4 years. But I never wound many. And with that ol .35 I was pretty much guaranteed a blood if not a blood and chunks of body trail on pigs which are notorious for not leaving any blood trails. Anyone with hog hunting experience knows that.
But it was just a very fun gun to carry and hunt with. I also LITERALLY blew a few nutrias in half with it at very close range