Roman historians within 100 years from Jesus' death.

Pliny the younger: 112 CE Emperor Trajan 

He was governor of the Roman province of Bithynia-Pontus in Asia Minor (now Turkey).

Pliny is best known for a series of letters that he wrote later in life to the Roman emperor, Trajan, seeking advice for governing his province. In particular, letter number 10 from the year 112 CE is important. Pliny learned from reliable sources that the Christians (illegally) gathered together in the early morning. He provides us with some important information about the group: they included people from a variety of socioeconomic levels, and they ate meals together of common food. Pliny may tell the emperor this because of rumors, which we hear from other later sources , that Christians committed cannibalism. (They did, after all, eat the flesh of the Son of God and drink his blood.) Moreover, Pliny informs the emperor, the Christians “sing hymns to Christ as to a god.”

Suetonius: 115 CE Emperor Claudius 

Suetonius was Roman biographer.

It is in Suetonius’s biography of Claudius, emperor of Rome from 41 to 54 CE,

Suetonius indicates that at one point in his reign Claudius deported all the Jews from Rome because of riots that had occurred “at the instigation of Chrestus.”

A large number of scholars over the years have thought that the situation in Rome is relevant for understanding early Christian history. In this theory, it was Roman Jews who believed that Jesus was the messiah, or Christ (Chrestus), who had stirred up the passions of Jews who did not believe. This led to violent reactions that got out of hand: the riots mentioned by Suetonius. And so Claudius expelled the whole lot of them.

The reading of the situation may receive some support from the New Testament book of Acts, which also refers to the incident (18:2).

Tacitus: 115 CE Emperor Nero

Tacitus wrote his famous Annals of Imperial Rome in 115 CE as a history of the empire from 14 to 68 CE.

According to Tacitus, it was the emperor himself who had arranged for arsonists to set fire to the city because he wanted to implement his own architectural plans and could not very well do so while the older parts of the city were still standing. But the plan backfired, as many citizens—including those, no doubt, who had been burned out of house and home—suspected that the emperor himself was responsible. Nero needed to shift the blame onto someone else, and so, according to Tacitus, he claimed that the Christians had done it. The populace at large was willing to believe the charge, Tacitus tells us, because the Christians were widely maligned for their “hatred of the human race.” And so Nero had the Christians rounded up and executed in very public, painful, and humiliating ways. Some of them, Tacitus indicates, were rolled in pitch and set aflame while still alive to light Nero’s gardens; others were wrapped in fresh animal skins and had wild dogs set on them, tearing them to shreds. It was not a pretty sight. In the context of this gory account , Tacitus explains that “Nero falsely accused those whom…the populace called Christians. The author of this name, Christ, was put to death by the procurator, Pontius Pilate, while Tiberius was emperor; but the dangerous superstition, though suppressed for the moment, broke out again not only in Judea, the origin of this evil, but even in the city [of Rome].”

Source: Did Jesus Exist: Bart Ehrman.