Step 1: Examine each pair.
\[
\begin{aligned}
A: &\text{Frankel-Conrat} \rightarrow \text{Genetic nature of DNA}
\end{aligned}
\]
This is incorrect because Frankel-Conrat demonstrated that RNA is the genetic material in Tobacco Mosaic Virus (TMV).
\[
\begin{aligned}
B: &\text{Bessey} \rightarrow \text{Phylogenetic classification}
\end{aligned}
\]
This pair is correct.
\[
\begin{aligned}
C: &\text{Buchner} \rightarrow \text{Zymase}
\end{aligned}
\]
This pair is correct. Buchner discovered the enzyme zymase.
\[
\begin{aligned}
D: &\text{Sumner} \rightarrow \text{Catalase}
\end{aligned}
\]
This is incorrect because Sumner crystallized urease, not catalase.
Step 2: Choose the incorrect pairs.
Hence, the incorrect pairs are
\[
\boxed{\text{A and D only}.}
\]
Therefore, the correct option is
\[
\boxed{(B).}
\]