Core: Remove unnecessary includes

Also moves a cpp file's related header file to the top of the inclusions if it isn't already there.

Source/Core/Core/State.cpp

@@ -2,6 +2,8 @@
 // Licensed under GPLv2+
 // Refer to the license.txt file included.
 
+#include "Core/State.h"
+
 #include <lzo/lzo1x.h>
 #include <map>
 #include <mutex>
@@ -31,7 +33,6 @@
 #include "Core/Movie.h"
 #include "Core/NetPlayClient.h"
 #include "Core/PowerPC/PowerPC.h"
-#include "Core/State.h"
 
 #include "VideoCommon/AVIDump.h"
 #include "VideoCommon/OnScreenDisplay.h"