At the last chat we talked about historians whom Livy refers to. I promised to do some checking in my trusty Geschichte der Römischen Literatur by Michael von Albrecht.
Claudius is the annalist Claudius Quadrigarius. He wrote at least 23 books. He loosened the annalistic format through letters, speeches, and anecdotes. "He pleases through brevity and preciseness." It is not known whether he began ab urbe condita or with the Gallic Sack of Rome. He wrote through Sulla's time.
The annalist Valerius Antias wrote 75 books ab urbe condita through at least 91 B.C., maybe through the death of Sulla. He is known for his embellishments, especially of the importance of his Valerian gens and his exaggerations of battle casualties. He follows the Hellenistic writers in his narrative style. "[His] flights of fancy are compensated by rationalistic explanations and by interspersing official reports, which may well be not imaginary."
Velleius Paterculus refers to both in Book II.9 of his Roman History: "[At this time] Sisenna, the author of the Histories, was still a young man. His works on the Civil Wars and the Wars of Sulla were published several years later, when he was a relatively old man. Caelius was earlier than Sisenna, while Rutilius, Claudius Quadrigarius and Valerius Antias were his contemporaries."