I prefer the .22LR over the others. The mag is over-kill and I've seen what a .17 can do to a cat. Doesn't take much to kill a rabbit and it's mostly at close range. I really enjoy hunting rabbits, in the snow, using my Savage-24BDL; .22LR over a 20Ga.
I once shot a rabbit at a longer than normal, for the 20ga. Was bit surprised when he just fell over. On inspection, found that only one #6 BB had hit him, in the head. .....
Be Safe !!!