Depending on your needs, some of those animations can be done with what already exists.

I've done throwing with the second to last frame of the slash animation. It works pretty well as long as you don't need a two-handed throw, and don't need to use the front view.

There is an animation for picking up items with both hands. The animation is not widely used, so very few (if any) clothing items have been made to fit it. If the item will just disappear into the inventory, I like to use a frame from the slash animation. Either option for pick up animations works as long as the character doesn't need to visibly carry the item, or bend over to reach it.

Eating depends very much on what you need. Personally, I'd use the frame from the spell cast animation where the hands are close together, or a frame from the slash animation where the hand is close to the mouth. I'd position the food over the character's hands, and then make it disappear and play an eating sound.

Climbing a ladder is the only one I can't think of a way to do with what currently exists. I don't think it would be hard to create one, but adapting clothing items to fit it could easily become an enormous task.