"various responses to" is a correct and usable part of a sentence in written English.
You can use it when you want to refer to more than one response to an event or situation. For example: "We received various responses to our survey about customer satisfaction."
Among the various responses to that question, four stood out.
Hendrik Hertzberg charted his various responses to the movie, and offered a complimentary reading list.
On the Out Loud podcast, Specter talks with Elizabeth Kolbert and Nicholas Thompson about the various responses to climate change.
Looking at the various uprisings and protests around the Arab world this year, and the various responses to them, you see the range of historical possibilities.
With the media focused on Donald Trump's near daily indiscretions, and Hillary Clinton's various responses to those indiscretions, both the Republican and Democratic vice-presidential nominees have been forced into the shadows.
That book turns upon the rape of a young woman and the impact this crime has on her family as their various responses to the attack reveal underlying secrets and weaknesses they have concealed for decades.
If the reactions to Kendrick Lamar's performance at the Grammys on Monday night, and to Beyoncé's performance at the Super Bowl a fortnight earlier, are anything to go by, you could almost script the various responses to the next time a black artist makes a political statement on stage.
Variation of genetic mutations across cancers with different origins leads to various response to natural stimulators of apoptosis.
Mr. Stanford, Mr. Davis and others proposed various responses designed to mislead the American regulators, which Mr. King was expected to transmit back to the S.E.C.
The coders were instructed to use the Kirkpatrick framework as a guide and code the various responses according to the Kirkpatrick framework levels.
There are various responses open to Rawlsian theorists.
