Unfortunately, at this moment, I don't believe that is possible. I registered a support ticket a couple of weeks ago about the same issue and was told:
"As per our conversation, that is correct that a user without the Analyzer license would not be able to create/edit/customize any out of the box report in the New Insight. This is why the amount of Analyzer licenses for an instance has been expanded to accommodate the limitation."
This is a huge bummer as it means that functionality that we previously had in Classic has been taken away. Hopefully, this is something that can be addressed and resolved in the future but I'm not holding my breath.