I'd like to learn more about classical battle tactics, military training, militairy engineering, armor and weapons of the soldiers; from Egyptian chariots to late Roman cavalry.
I already have De Re Militarii of Vegetius, and i found it so interesting i want to learn more.
This is a pretty huge topic, so it's hard to find works that will cover all of it. I can give you specific advice on the field of Archaic and Classical Greek warfare - see the reading suggestions I offered here - but that doesn't really answer your question!
I think the best place to start might be the volume edited by Phil de Souza, The Ancient World at War (2009). There are other volumes and overview works of this kind, but De Souza has managed to gather some of the leading academic historians to write about their respective fields, so that the result rises above many entry-level works.