specs: AMD Phenom II X4 925 / 8 GB RAM / Asrock MB / 750 watt PSU / 1 TB HDD
games to play: BF1, dark souls 3, overwatch (possibly).
BF1 (minimum req): AMD FX-6350 (i5 6600K) / 8 GB RAM / HD 7850 2GB or GTX 660 2GB
Dark Souls III (minimum req): AMD FX 8150 or (i7 2600) / 8 GB RAM / HD 7850 or GTX 750
My "guess" is that you can either play BF1 on 720p (ultra) @ 30-40 FPS or 1080p (low) @ 60 FPS; both on a small map (24 player).
I'm very confident that you can play BF1, Dark Souls III, and Overwatch (obviously). You just won't be able to play them with the visual detail and experience that was intended by the developer. But it should still be fun as hell.
Ideal future upgrade for maxed out settings would be i5-7600k (Intel kaby...