cases depending of nouns

After reading about Garawa grammar and learning that the pronouns follow a
nominative-accusative system and the nouns follow an ergative-absolutive
system, it led me to think of something.

In active languages, the case of the subject of intransitive verb will vary
depending of the verb (and, in Fluid-S, of its volition), but are there
languages in which the case will vary depending of the noun used?

Like, for example, the word "dog" might only be absolutive and the word
"man", only nominative in intransitive clauses, making that "the dog runs"
and "the man runs" would not use the same case without implying a change of
volition between the two sentences?

Does such thing exists? If so how is it called?

I was searching for a good and new idea for trying in a conlang and, unless
it's an ANADEW, I could try this.

Thanks
- Max

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