Worth looking into nested words aka visibly pushdown languages.

They're a proper superset of regular languages and a proper subset of deterministic context-free languages, but they retain many of the nice properties of regular languages that DCFLs don't - they're closed under intersection, union, concatenation, Kleene Star and reversal.

They can parse more languages that Regular Expressions (non PCRE), but fewer than deterministic CFG subsets like LL/LR. They're expressive enough to parse languages which have a regular tree structure like S-expressions, JSON, XHTML.