'various critiques' is correct and usable in written English.
You can use it to describe multiple forms of critique that are different from one another. For example: "The professor received various critiques of his article from his students."
I could explain to you what they're doing, and what's wrong with the various critiques.
It is an absolute pleasure reading the various critiques in The New York Times for the very reasons you point out.
Various critiques have emerged in socio-legal scholarship or globalization discourse, revealing that there is a stark discrepancy between reality and expectation.
But ultimately, regardless of the various critiques of Jodi Picoult's choice of ending, I have to grudgingly admit that although it was a mean move, it was also a genius one.
In various critiques this season, Coach Jeff Van Gundy has taken subtle and not-so-subtle jabs at the additions to his roster, complaining about how the Knicks are "just different".
The federal government spent hundreds of thousands of dollars on studies aimed at making a clear scientific case against the farm's continued operation and on various critiques of the self-same science.
But it's still interesting to watch how effectively "Girls" weaves together elements from various recent critiques of modern sexual arrangements.
There is something paradoxical, though, about describing one's dreams or theorizing about religious experience since to give an account one must absent oneself from the province for which one accounts, and Kierkegaard's notion of indirect communication and various postmodern critiques of theory address themselves to just such paradoxes.
He critiques various claims that broken bones represent evidence of cannibalism, both in Iron Age Yorkshire and in the case of Peking Man, maintaining that these breakages could represent many different things rather than cannibalism.
Then Trump spent Sunday morning tweeting aspersions about the press, critiquing various elements of coverage and largely ignoring his opponent, despite recent, damaging reports about her relationship with donors and her record as a senator.
For all his close reading of Hitler and various historians – his critique of Ian Kershaw's work is more than an intriguing footnote – he never really gets to grips with the source or growth of the dictator's demented antisemitism.
