Please pardon my ignorance but which group would ONYX and CARNELIAN fall in ?This doesn't include everything, but give you idea -- from softest to hardest
Moh's Scale of Mineral Hardness
Malachite is one of those stones they say to be very careful with, but I think it is mostly common sense things. Don't submerge in water, don't wear while you are doing work around the house, etc.