Chuck Norris' shoes. Just for the awesomeness..
Only that it's impossible to get his shoes, because you would get roundhouse-kicked in the head and die. And if (and that's a BIG if) Kratos got them, he would die from a mysterious roundhouse-kick related injury.
Maybe I'll just give him my own creation, a home made "Electro-Spear" (you heard me, a home made spear that gives anyone stabbed with it a deadly shock.. NO, you can't borrow it)
or maybe just an old tv? would be fun to see what he would do with it.
EDIT: how could I forget the hammer of Thor? that would be awesome!!!