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Here is my compiled Slingshot Ammo Size by Type of Game. I use 10mm for hunting rabbits and ducks.

Ammo Size	Steel Ammo Characteristics	Lead Ammo Characteristics	Range	Game
5/16-inch (8mm)	This size is too small and lightweight to be effective for most hunting	Heavier than steel of the same size but is also more appropriate for target shooting	10 – 20-yds	Practice mostly, but some small birds, rodents, or reptiles.
3/8-inch (9-9.5mm)	Fast but not heavy enough. Only suitable for close shooting in the head and neck.	Does not do enough damage passing through, requiring high accuracy.	15 – 25-yds	Squirrels, rabbits
25/64-inch (10mm)	Most often used for target practice but okay for mid-range hunting	Heavier than the steel, this shot is ideal across a wider range of distances and game types	10ft to 50-yds	Squirrels, pheasant, turkey, pigeons, rabbits
7/16-inch (11mm)	This steel shot has the same qualities as 25/64 lead and is a good alternative	Too heavy and not recommended for long-range. Devastating at close range.	Steel: 10ft to 50-yds Lead: 10 – 20-yds	Squirrels, pheasant, turkey, pigeons, rabbits
15/32 (12mm)	Heavy and low range	Burdensome for hunting and not recommended	Only very close range up to 10-yds	Not recommended

10mm steel is a very underrated ammo. I think it has the perfect balance between heavy and light., 8mm steel is considered light, 9.5mm is medium and 11mm heavy. However 10mm steel is right inbetween the medium and heavy range, so it doesn't feel too light but at the same time its heavy enough to do serious damage and good distances when hunting. And you don't need as super heavy bands with high draw weights as you do with 11mm steel. Just my opinion