It's not that easy to help you out.
By and large, Russian and French chanson are different like day and night. See the parody to 'feel' the distinction.

https://www.youtube.com/watch?v=t3adAAMgkV8

Also, Boris Grebenshchikov’s lyrics are too unique to be easily imitated, modeled after, plagiarized etc, and I doubt that some of his verses can be rendered into plainer and less metaphorical Russian. Anyway, check out Bandera and Tsyganova. Their songs may (or may not) suit your taste.

https://www.youtube.com/watch?v=93U4bDW-DgE

https://www.youtube.com/watch?v=x4n7hw8ZSOo