I'm sure they are reknown in Greece or / and Armenia, but:
Heraclius - he inherited Byzantine Empire when Persians conquered Syropalestine, roman Mesopotamia and Armenia, Egypt and most of Asia Minor, plus Avars and Slavs were ravaging through Balkans. Yet he defeated all in a brilliant "hit the core of the enemy" campaign, much like Stefan Batory in Livonian War between Poland and Russia, or Khevenhueller in the war of austrian succession. As Runciman wrote, he would be remembered as the greatest roman general since Caesar if not that the Arabs came. He, who led all the campaigns against Persians, didn't lead a single battle against them, so it is not as if he was completely responsible for these defeats.
Pompeius the Great - in the shade of Caesar, but for me, getting rid of pirates, having part in defeating Pont, Armenia and conquering Syria is enough to place him in teh greatest generals evah list.
Nikeforos Fokas, Joannes Tzimiskes and Basilios Bulgaroktonos - the greatest rulers and generals of in the byzantine revival in X and XI century, they conquered, among others, Bulgaria (Basilios), and the heavy fortified boarderland (ath-thughur) in Cilicia, Syria, Al-Gazirah and Armenia, having also defeated Sayf ad-Dawlah at the peak of his power.
Heraclius - he inherited Byzantine Empire when Persians conquered Syropalestine, roman Mesopotamia and Armenia, Egypt and most of Asia Minor, plus Avars and Slavs were ravaging through Balkans. Yet he defeated all in a brilliant "hit the core of the enemy" campaign, much like Stefan Batory in Livonian War between Poland and Russia, or Khevenhueller in the war of austrian succession. As Runciman wrote, he would be remembered as the greatest roman general since Caesar if not that the Arabs came. He, who led all the campaigns against Persians, didn't lead a single battle against them, so it is not as if he was completely responsible for these defeats.
Pompeius the Great - in the shade of Caesar, but for me, getting rid of pirates, having part in defeating Pont, Armenia and conquering Syria is enough to place him in teh greatest generals evah list.
Nikeforos Fokas, Joannes Tzimiskes and Basilios Bulgaroktonos - the greatest rulers and generals of in the byzantine revival in X and XI century, they conquered, among others, Bulgaria (Basilios), and the heavy fortified boarderland (ath-thughur) in Cilicia, Syria, Al-Gazirah and Armenia, having also defeated Sayf ad-Dawlah at the peak of his power.