Thank you folks.
I could go for the all-red map , but that wouldn't be much of a challenge. My goals of defeating the Allies and USA have been reached.
I can tell you what I know: I've lost three infantry divisions, one paratroop division, one battleship and eight heavy cruisers.
If I'm not wrong, HOI 3 does feature exact statistics in the statistics screen, where you can view your losses (Combat losses in numbers).