Who were known for writing roman histories?

Almost any retired patrician seemed to have written a history of some sort. Unfortunately (or fortunately) many of those histories have been lost. Polybus, Lucan, Apian, Tacitus, Seutonius, Dio and Plutarch are just a few.

Some of them were Greeks: Diodorus Siculus, Dyonisius of Halicarnassus, Plutarch, Polybius.

(A+) livy,caesar,and sallust