In the end of the Pink Panther episode "Sink Pink", the pink panther says:
"Why can't Man be more like animals?"
Does this comparison employ correct grammar? It sounds wrong to me.
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There aren't any grammatical rules that would make comparing a singular noun to a plural noun incorrect. But often it doesn't make much sense to do so because comparing a singular to a plural has an obvious difference of cardinality. It's like comparing apple to oranges.
I think if you replace "Man" with "Mankind" in your sentence, it will sound less odd because "Man" is often used non-collectively ("That man is nice"), but "Mankind" can only be used in a collective sense.
"Why can't Mankind be more like animals?"
"Mankind is animals."
This answer goes into detail about subject-complement agreement with respect to plurality. It holds irrespective of whether the sentence is comparing the subject to the complement or is very simple like "The thing is the books."