
3970J + 3940G for sure.
In fact, I have a 3970J... and a 3940P. Not quite the same, I know, but for the reasons dr kol stated, 3940 is just such a classic piece.
Also, the 5970J is a beautiful, beautiful piece but for me - and this is a highly personal thing - the track kind of clutters the dial a bit. On the plus side, it does give it a "sportier" look. It is also a bit bigger so for those with larger wrists they may prefer the 5970 versus the 3970. However, I prefer the 3970.
... here, for extra inspiration:

Just so perfectly proportioned. I love it.
Shot of 3940P actually on my wrist:

Shot of 3970J, not from me but presumably from a far more professional (and better) photographer:


... of my former 3970 (sadly gone). Indeed, Deniz made fantastic pictures of it you are right, and the one you picked up is just one out of many other gorgeous ones.
Although I am far to be as his level, I can't resist to share some other ones that I did so as to finish to convice Merke ;-)



Yes 3970 is a fantastic watch, and 3940 as well definitely (although I can't say that that 5970 P with black dial leaves me cold on the contrary, but that's another league!).
By the way, I love Pierre Corthay shoes just like Aubercy : very nice understated shoes for a man of good taste, just like PP!
Best,
Mike