Are there organisms that "branch more" near the leaf?
I can't say that your question is very clear to me, but perhaps something of interest to you would be a common type of inflorescence called an umbel. specifically, a compound umbel with associated umbellets. 

Compound Umbel:



 Source: Educational Technology Clearinghouse  

Some examples can be found here

Again, since your post is not clear to me, I'll also include images of other complex inflorescences:



 Source: texaswildbuds.com   [the compound cyme might be of interest to you]