From scratch LLMs seem to be completely lost writing parsers. The bleeding edge appears to be able to maybe parse xml, but gives up on programming languages with even the most minimal complexity (an example being C where Gemini refused to even try with macros and then when told to parse C without macros gave an answer with several stubs where I was supposed to fill in the details).
With parsing libraries they seem better, but ultimately that reduces to transform this bnf. Which if I had to I could do deterministically without an LLM.
Also, my best 'successes' have been along the lines of 'parse in this well defined language that just happens to have dozens if not hundreds of verbatim examples on github'. Anytime I try to give examples of a hypothetical language then they return a bunch of regex that would not work in general.