LLPSI Discord: https://discord.gg/uXSwq9r4
Latin Discord: https://discord.gg/latin
(just checked archive.org, and sure enough, they've got a scan of the book I have, but it's a limited preview: https://archive.org/details/meinerstesbuch0000unse/mode/2up)
https://vivariumnovum.it/risorse-didattiche/propria-formazio...
Another term is "comprehensible input" -- but I am not certain precisely how the two relate to each other. But hopefully they're enough for you to go on.
The latter two refer more to a large volume of simple reading materials which let you work up on your own, practicing and slowly learning more grammar and vocabulary.
It's super low-effort, but I had fun with the (modern) light novellas by Andrew Olympi and kin - in some sense they're too easy above a certain level and made me over-confident in a way that was damaging to my confidence when I looked at actual classical latin texts, on the other hand it's nice to just be able to pick up a small book and read some beginner-level Latin without requiring any effort/strain.
[ note: I've only been learning Latin for about a year, with very mixed success - I'm very much a beginner still and can't read any classical texts with any fluency/comfort, nor write without a dictionary to help with inflections ]
Just hit too many blocks where I sort of have the understanding of what it must mean, but I want to ask someone 'why is it inflected in this way here but different there?', and of course there's no explanation of that. (By design, I just don't like it.)
Perhaps my ideal would be something like LLI but interspersed with grammar-oriented explanation between chapters.
I always recommend people learn the use of a language before the grammar at the beginning, and then transition into much more intensive grammar study later, likely exactly at the point when you got frustrated is when introducing grammar would be perfect. This is especially true when the written grammar of a language can look very different than the sound of a language (especially if written differences are hidden by identical sounds in the language, like in French).
I've learnt so much more from studying conjugation/declension tables on Wiktionary than I have from trying to converse with fluent/native speakers, who can't explain to me why or tell me how to spell it (sounding/typing it in the English alphabet).
BUT, the natural method plays well with extensive reading/comprehensible input, where you just read a lot at a simple, pleasurable level, allowing it to ramp up gradually.
This is how I learned much of English as a native speaker, after all!
So I intend to use this approach with other languages in the future as well.
Caesaris Bellum Helveticum: Scriptores Antiqui Romani Imaginibus Ornati by Karl Heinz Graf Von Rothenburg
https://www.amazon.com/Caesaris-Bellum-Helveticum-Scriptores...
LEGEMANVALEMFVTVTVM (Ancient Roman programmers' adage.)
ScorpioMartianus https://www.youtube.com/c/ScorpioMartianus
it is definitely hard to get started with latin/greek when your native tongue is a highly positional language like english, but I don't think it is intrinsically harder. the same information is there, it's just encoded in word endings rather than order. in english, the word order is only really important within individual clauses. you can still write very complicated (and syntactically correct) english sentences with clause orderings that are very hard to parse. I'd argue this requires just as deep of a mental "stack" as latin/greek.
anyways, that's just my two cents as someone who studied, but never fully mastered, latin and greek in college.
For spoken Latin, there are Corderii colloquia, which are also made into an audio book.