I'm not sure if anyone else has made a list like this or not, but I thought I'd make one myself, sorry if someone else already did this!

Now, I'm pretty sure ALL food on Lioden gives stats, but, I figured I'd just put this here to help out anyone who doesn't know yet. These are just some of the carcasses listed on the Lioden Wiki that have chances of giving stats. I thought it might be helpful for anyone scrambling to find foods to feed their lions that will give them some stats. Remember, it's just a chance, please don't go blowing up at me if you don't gain stats from these foods. Thanks!

Stat giving foods listed below:

Buffalo Carcass: 5% chance of +1 Strength
Bush Pig Carcass: 1% chance of +3 Smarts
Crane Carcass: 1% chance of +2 Speed
Dik Dik Carcass: 1% chance of +1 Agility
Donkey Foal Carcass: 1% chance of +2 Speed
Elephant Calf Carcass: 5% chance of +1 Smarts
Gazelle Carcass: 5% chance of +1 Smarts
Gembsok Carcass: 1% chance of +1 Smarts, 5% chance of +1 Agility
Gerbil Carcass: 7% chance of +1 Speed
Small Turtle Carcass: 30% chance of +1 Smarts
Egg Yolk: Chance of 0-15 boost of Stats (Event only)
Goat Carcass: Chance of +1 Smarts

There are also chances of getting stats from toys, but it's quite rare! I know that at least Rat Skull gives a chance of +1 Speed. :)

I will add more onto this list the more I find out!