A group $G$ is called *$(a,b)$-generated* if $G=\langle x,y\rangle$ for some $x,y\in G$ with $|x|=a$ and $|y|=b$.

I know some of the histories on this problem. For example, in this early paper in 1996 Liebeck and Shalev proved that

Theorem.All but finitely many finite simple classical groups other than $\operatorname{PSp}_4(2^f)$ or $\operatorname{PSp}_4(3^f)$ are $(2,3)$-generated.

In this paper in 2017, King proved that

Theorem.Every finite simple group is $(2,r)$-generated for some prime $r\ge 3$.

Is there any other result on $(2,3)$-generation or $(2,r)$-generation of finite simple classical groups? For example, the $(2,3)$-generation for low-dimensional classical groups? Or is there any lower bound (w.r.t the dimension and the order of field) of $(2,3)$-generation?