Out of the groups you mention $\ce{-NO2}$, $\ce{-CN}$ will most certainly react, $\ce{-CH3}$ and $\ce{-NH2}$ not so much and I am ambiguous about $\ce{-CONH2}$.
Although I said that $\ce{-CN}$ will react, I can't pin point the product which will form in a certain condition. But in case of $\ce{-NO2}$, I certainly can predict the product based on a list I complied a couple of years ago.
The "List":
$$
\begin{array}{|ccc|}
\hline
\ce{Ph-NO2}&\xrightarrow[\ce{NH4Cl}]{\ce{Zn}}&\ce{Ph-NHOH}\\
\hline
\ce{Ph-NO2}&\xrightarrow[\ce{NaOH}]{\ce{Zn}}&\ce{Ph-NH-NH-Ph}\\
\hline
\ce{Ph-NO2}&\xrightarrow[\ce{NaOH}]{\ce{Zn+alcohol}}&\ce{Ph-N=N-Ph}\\
\hline
\end{array}
$$
References:
(1) Kamm, O. β-Phenylhydroxylamine". Organic Syntheses. ; Collective 1941, 1, 445.
(2) Bigelow, H. E.; Robinson, D. B. Azobenzene". Organic Syntheses. ; Collective 1955, 3, 103.