Will Wright's Cradle series is a western take on Chinese cultivation novels (specifically the Xianxia subgenre, which borders the Wuxia subgenre).
If you are looking for something similar to Will Wright's Cradle series, meaning other western writers trying to copy Chinese cultivation novels, there is the series A Thousand Li by Chinese/Malaysian/Canadian Tao Wong in Vancouver, and the Path of the Thunderbird series by eden Hudson, and the recent much praised Street Cultivation by Sarah Lin for a modern twist on the genre.
The above mentioned books are originally written in English, just like Will Wright's Cradle -- so they avoid the pitfalls of awkwardly translated Chinese cultivation novels. (Fun fact: Will Wright said that if there was a good mobile app, he would be spending all his time online reading his favorite badly translated Chinese webnovels and not writing anything).
A year or so ago, Will Wright and Andrew Rowe coined the term "Progression Fantasy" and set up a subreddit with that name to describe what they write.
Something else that literally perfectly fits your criteria of "Western novel that's Anime inspired" is Garrison Girl by Rachel Aaron. It is an official spinoff novel sanctioned by the anime Attack on Titan. The owners of the Attack on Titan anime IP put out feelers to agents of traditionally published authors, and Rachel Aaron (who had a couple of series published by one of the big five traditional publishing houses before going independent with much success) won the job with her story pitch. But I think the MC is female and may not meet your other qualifications. But it is literally a novel written by a western writer with the official support and at the request of the Attack on Titan anime. It just may not fit any of you other criterias.
Other than Will Wright's Cradle, none of the other books on your list are anime inspired. So maybe you meant progression fantasy, instead of anime inspired. In that case, you could check out their subreddit.
There is also the Spellmonger series by Terry Mancour, if you want progression fantasy without litrpg. It follows a village spellmonger as he climbs in power and social stature. From villager to war leader to feudal manor lord to baron to sovereign count palatine.
Will Wright also has the Traveler's Gate trilogy of a similar vein to Cradle.
