I hesitate to post this because I'm not endorsing 22s for deer hunting. There are so many better choices, from the 243 on up. That said, I have used the Trophy Bonded and the Barnes X on some small deer. Both work well if you put the bullet exactly where it needs to go. The Trophys retained about 90 percent of their weight and looked like classical mushrooms if recovered. They are also very expensive. The X bullet (I’ve only used one) penetrated farther but was not recovered. I like Nosler Partitions but haven’t tried them in 22. I suspect they would work like the other two mentioned.
I’ve seen others used, 64 gr. Winchester, the old 55 gr. Nosler solid base (out of production) and the 70 gr. Speer SP. While all resulted in dead deer, the penetration was lacking. They would not consistently exit a small bodied deer on an easy broadside shot. To me that’s not good enough.
If I HAD to use a 22, I would go with the Barnes X, or if my gun didn’t shoot them well, the Nosler Partition.