Here are some I have:

Splinter: The higher this is, the more the object is likely to scatter small pieces like splinters.
Random: The higher this is, the more unpredictable the objects break. For example, sometimes, when you break something, reset, and break it the same way, you get the same results.
Limpness: The higher this is, the more the object behaves like a ragdoll. (Only for alien, boy, girl, bear, octopus, frog, and jellyfish.)
Jiggly: One word: JELLO!

Zooming In & Out: Self explanatory.
Landscape Mode: In addition to portrait mode, there should be landscape mode.
Set Materials: Preset materials with their own settings.
Black Hole & White Hole: Black hole sucks things it, white pushes stuff away from it.
Speeding Projectile: You can set the speed, direction, and number of speeding projectile(s) that fly towards the object. Like bombs, you can do it in normal speed or slow motion.

Some examples of new objects that can be added:
A vase
A diamond
An iPod Touch (suggested by my brother, lol)

Not sure if these are possible, but:
Water: Self explanatory.
Sand and other solids: Self explanatory.

That's all I have for now.