I am not sure where you are getting your quote from, but "or the like" seems to cover dead organic material similar to wood (dead trees) or leather (dead skin/hides).
I am pretty sure it was defined in 3e that creatures were only creatures until killed then they were considered objects for game effect purposes.
The closest I can find to a direct reference though is the glossary definition of creatures on the 3.5 PH page 306: "creature: A living or otherwise active being, not an object. The terms “creature” and “character” are sometimes used interchangeably."
Animate object for instance does not seem to have any prohibition on using inanimate corpse. It says "You imbue inanimate objects with mobility and a semblance of life. Each such
animated object then immediately attacks whomever or whatever you initially designate.
An animated object can be of any nonmagical material. You may animate one Small or smaller object or an equivalent number of larger objects per caster level. A Medium object counts as two Small or smaller objects, a Large object as four, a Huge object as eight, a Gargantuan object as sixteen, and a Colossal object as thirty-two. You can change the designated target or targets as a
move action, as if directing an active spell.
This spell cannot animate objects carried or worn by a creature.
Animate objects can be made permanent with a
permanency spell."
While animated objects are described simply as "Animated objects come in all sizes, shapes, and colors. They owe their existence as creatures to spells such as
animate objects or similar
supernatural abilities."