Click to see parts I and II.
Once more, I'm inclined to fix the Brazilian national flag. In this case, my idea is more subtle and doesn't fix all issues I described in parts I and II, it's more like a hotfix.
This is the current Brazilian flag:
My idea, inspired by Paraná flag, is just substitute this confuse set of stars for the Southern Cross:
Apart from being a more effective way of showing a national symbol, it's a much simpler and remarkable design. A side effect is that the white ribbon is less horizontal, a bonus for those that see a reference to the armillary sphere.
It keeps the criticized "Ordem e Progresso" [Order and Progress] writing, considered both unaesthetic and partisan (being originally derived from a Positivist motto). One step further:
Comments are welcome.
Don't forget to check parts I and II of the series.