Spoiler-free (atleast nothing that doesn't become apparent in the first few pages anyway) review:
Youjo Senki is a story with a reincarnated protagonist - and many reincarnation stories often suffer from very similar problems:
If the experience from the previous life gives the protagonist too much of an advantage, there are no real challenges to overcome and things become boring to read.
If the challenges are always difficult to overcome, one starts to wonder, what point the reincarnation had to begin with.
Youjo senki skillfully avoids these pitfalls by making the reincarnation both source of the protagonists strength, but also source of his/her problems:
With the mind of an adult and the common sense of someone from the 21st century, the protagonist is able to quickly advance through the military ranks of a world stuck in a situation very similar to our world's World War I (just with magic added to the mix). But the common sense of the 20th century is different to the one from the 21st, and so many of Tanya's 'ingenious' ideas do not play out as intended.
Misunderstandings happen left and right, creating interesting situations and driving the story forward. Here I find it important to mention that these misunderstandings are of a different calliber than the ones you might be used to from many mangas and light novels: they aren't always quickly resolved, they often have long(er) term consequences, and they are satisfying to read. As a reader you want another misunderstanding to happen, which is very different from the often frustrating/annoying 'misunderstandings' that typically happen in other stories, which could be resolved in a single sentence, if people only bothered to actually speak with one another.
At the end of the day this novel manages to combine the satisfying experience from various different genres into one: be it the feeling of cheering for the underdog, the gratification of witnessing a plan thought up by an intelligent strategist, a bit of mindless 'in this scene the protagonist is totally OP'-action, the humor of something going right for all the wrong reasons, the experience of a world's lore and history slowly unfolding before you, etc. etc.
Youjo Senki borrows ideas from many sources and combines them into something great.
I do not know if the delicate balance between so many components can be maintained forever, but until volume 2 chapter 2 (my progress with the story at the time of this review) there aren't many flaws that I would feel worth mentioning.