I'm most interested in deterministic languages. Non-deterministic context-free languages would be extremely interesting as well but more out of curiosity than an applicable need. Thanks!
There are exceptions, but relatively few production compilers uses anything else, and most of the innovations in parsing provides relatively little value in this space because they tend to be focused on better expressing complex languages rather than provide improved ways of expressing / capturing errors, and it's the latter that would provide most benefit for deterministic languages.