Zvezda Plot anime is probably the most advanced anime on the strategies of war. I will now list strategies used by Zvezda which will turn out to be even above modern war strategies.
1. Attack if you are strong and enemy is weak
A quite simple one. If there is a time when enemy is weak and you are strong, or if there is a place where enemy is weak and you are strong, you are supposed to attack.
The additional strategy linked to this one is waiting for enemy to become weak, and attacking then.
2. Retreat if you are weak and enemy is strong
Another very common sense strategy. If you are at a place or time when you are weak and enemy is strong, you are supposed to retreat.
This strategy is used even in games like Smite and LoL where people are supposed to retreat if they are much weaker than enemy to regain power and attack again.
These two principles work in combination. When you are weak, you retreat to gain strength and wait for enemy to become weaker, which is when you attack.
3. Avoid pointless battles
The thing I noticed in Zvezda's strategies is that in the anime, there were few battles they could easily win, yet they avoided them. This made their enemies think that Zvezda is defeated, which is just few moments before Zvezda used surprise and attacked enemy's leadership and defeated all enemies in one moment.
4. Protect the group and the leader - hiding and avoiding
Whats interesting about anime is that most of the time, group spends time in hiding, using stealth to avoid the enemy. This is very useful, because Zvezda always knows where enemy is, but enemy doesnt know where Zvezda is. Thus, group was mostly protected from attacks while enemy was suffering attacks.
5. High movement ability - mobility
Group isnt really bound to one place, which enables group to be anywhere, and move anywhere, thus attack anywhere while not being forced to defend specific place.
6. Restore strength
The group doesnt spend time in constant fight, but it rests, retreats to restore power and build greater power instead of just blindly constantly attacking.
7. Mass of effects
The group uses many effects to defeat enemy, from various weapons and abilities, draining enemy's power, making enemy's forces spread and thus making enemy weaker, while group itself performs only "all united" attacks on enemy, using all resources and all members attacking together against enemy's separated group.
8. Wait for right moment to attack
The anime pretty much recognizes the need for waiting for correct time. The group which fights in final battle is basically the same as group formed at start, but their enemy is exposed and weakened.
9. Make speeches
Despite seeming as pointless, leader's speeches in anime did not just motivate the group, but also served to crush the will of enemies and even make enemies join their side.
10. Maintaining bonds with people
The group constantly works on building bonds with not just members, but all people, even their enemies.
11. Respecting enemies
The group is not bloodthirsty in any sense of the word. While seeming like they have lust for battle, a lot of battles happen with constant respect for enemies and a lack of degrading of enemies. In fact, the enemy is sometimes even praised as means to goal.
12. Persistence in everything
The anime very much teaches persistence, but in literally everything. Group tries to constantly become stronger in every way, from technology to driving abilities, challenging themselves all the time and working to achieve goals all the time.
13. Building loyalty
The group in many ways works to build loyalty, which later becomes useful, as group leader is considered by many to be someone who is supposed to be followed even in difficult times.
14. Listening to experts
Despite being a leader, Kate listens to experts and isnt actually a know it all dictator, but someone who knows that other people have useful knowledge too.
15. Increase number of allies to greatest
The group constantly seeks to convert people to their side, even offering benefits to many people so they support the group. Even a great number of enemies at the end join Zvezda, which increased group's power to the greatest. Kate always seeks to make enemies join her instead of destroying them.
16. Unite people against the enemy
A simple strategy, but when enemy's people are united against an enemy, then enemy is in much more difficult position.
17. Reject no one
Despite being centered around ideals, the group has members who dont even share its ideals, who are just there because they feel accepted. The group accepts those rejected by others. In fact, most of the main members of a group are those rejected by society.
18. Improve all
The main strategy of a group is to improve all its members. The constant work for improvement seems pointless at start, but later as members grow in knowledge, they are able to act better and inspire others.
19. Build great supplies and resources, spread resources
Even after Zvezda's main base was destroyed, they still had resources everywhere else which enabled them to continue the fight.
20. Be morally superior to your enemy
Probably a crucial strategy for Zvezda's victory. Many enemies at the end start agreeing with Zvezda and disagreeing with their own leaders, because Zvezda was morally correct while its enemies seemed cruel and heartless. This essentially destroyed enemy's will to fight. Zvezda never harmed those who arent its enemies, even acted to protect innocents, which is what made them seem superior to enemies who had no respect for anything.
We see that these strategies are better than principles of US military, because US military doesnt recognize the importance of uniting people, doesnt reduce harm to civilians, fights for mostly bad leaders instead of seeking to unite all, and fights many pointless battles with no clear goal other than fighting for the purpose of fighting. US military often fights too much where enemy is strong, which leads to drain on resources and casualties of US soldiers. Also, US military often exposes itself, which enables its enemies to attack it. This caused a much weaker militaries to inflict huge damage on US military historically, because while enemy always knows where US soldiers are, US soldiers dont always know where enemy is. In fact, surprise attacks on US soldiers happened often as a result of US soldiers moving in dangerous way and attacking at places where they didnt even know where enemy is.
You can google "US military principles" if you dont know what they are.
As for Zvezda's military principles, you will learn them either in round 1 either by watching the anime.