As a historian of British imperial history allow me to make a few comments; both are meant to show episodes in the 1898 Soudan Re-conquest but the uniforms of the 2nd clip are all wrong since the British Army used khaki (and not scarlet) from after 1882. The 2nd clip however bears some resemblance to the battles of Abu Kru and Abu Klea in the 1884-85 Sudan War. I always love the earlier version because it was actually shot in the Sudan and certainly the military advisors on the picture had served in the 1898 war. The big error in both scenes is to show the enemy charging on mounted animals; the dervishes had a "cavalry" but largely fought en masse and on foot. The "fuzzy-wuzzies" shown in the first clip are genuine Hadendowa tribesmen of the Sudan.
Hands down the 1939 version, although the modern remake does show some excellent field maneuvers, mainly courtesy of the 'Die Hards' reenactment group.
Incidentally, at the battle of Omdurman in the Sudan, young cavalry officer Winston Churchill witnessed the advancing hordes and writes in his memoirs "They actually thought they were going to win!", there's confidence for you..:)