Flavius Aetius, A.k.A. The "Last Roman" should be on the list
With a collapsing Western Empire he was able to beat/hold off the Goths, Vandals and of course his great victory over Attila at the battle of Charlons.
If it wasn't for Aetius the Western Empire would have collapsed 50 years earlier and Christianity would have been extinct by the 6th century.
BTW, As I type I have pictures of:
Grant
Buckner
Forrest
JeB Stuart
TE Lawrence (not a General until after the war?)