This article from Biblical Archaeology covers all the non-Christian historical sources that discuss Jesus.

About the author:

Lawrence Mykytiuk is associate professor of library science and the history librarian at Purdue University. He holds a Ph.D. in Hebrew and Semitic Studies and is the author of the book Identifying Biblical Persons in Northwest Semitic Inscriptions of 1200–539 B.C.E. (Atlanta: Society of Biblical Literature, 2004).

Here are the major sections:

• Roman historian Tacitus
• Jewish historian Josephus
• Greek satirist Lucian of Samosata
• Platonist philosopher Celsus
• Roman governor Pliny the Younger
• Roman historian Suetonius
• Roman prisoner Mara bar Serapion

And this useful excerpt captures the broad facts about Jesus that we get from just the first two sources:

We can learn quite a bit about Jesus from Tacitus and Josephus, two famous historians who were not Christian. Almost all the following statements about Jesus, which are asserted in the New Testament, are corroborated or confirmed by the relevant passages in Tacitus and Josephus. These independent historical sources—one a non-Christian Roman and the other Jewish—confirm what we are told in the Gospels:31

1. He existed as a man. The historian Josephus grew up in a priestly family in first-century Palestine and wrote only decades after Jesus’ death. Jesus’ known associates, such as Jesus’ brother James, were his contemporaries. The historical and cultural context was second nature to Josephus. “If any Jewish writer were ever in a position to know about the non-existence of Jesus, it would have been Josephus. His implicit affirmation of the existence of Jesus has been, and still is, the most significant obstacle for those who argue that the extra-Biblical evidence is not probative on this point,” Robert Van Voorst observes.32 And Tacitus was careful enough not to report real executions of nonexistent people.

2. His personal name was Jesus, as Josephus informs us.

3. He was called Christos in Greek, which is a translation of the Hebrew word Messiah, both of which mean “anointed” or “(the) anointed one,” as Josephus states and Tacitus implies, unaware, by reporting, as Romans thought, that his name was Christus.

4. He had a brother named James (Jacob), as Josephus reports.

5. He won over both Jews and “Greeks” (i.e., Gentiles of Hellenistic culture), according to Josephus, although it is anachronistic to say that they were “many” at the end of his life. Large growth
in the number of Jesus’ actual followers came only after his death.

6. Jewish leaders of the day expressed unfavorable opinions about him, at least according to some versions of the Testimonium Flavianum.

7. Pilate rendered the decision that he should be executed, as both Tacitus and Josephus state.

8. His execution was specifically by crucifixion, according to Josephus.

9. He was executed during Pontius Pilate’s governorship over Judea (26–36 C.E.), as Josephus implies and Tacitus states, adding that it was during Tiberius’s reign.

Some of Jesus’ followers did not abandon their personal loyalty to him even after his crucifixion but submitted to his teaching. They believed that Jesus later appeared to them alive in accordance with prophecies, most likely those found in the Hebrew Bible. A well-attested link between Jesus and Christians is that Christ, as a term used to identify Jesus, became the basis of the term used to identify his followers: Christians. The Christian movement began in Judea, according to Tacitus. Josephus observes that it continued during the first century. Tacitus deplores the fact that during the second century it had spread as far as Rome.

I remember reading the 1996 book by Gary Habermas entitled “The Historical Jesus: Ancient Evidence for the Life of Christ“. This book is a little before the time of most of you young Christian apologists, but back before the time of Lee Strobel and J. Warner Wallace, this is the stuff we all read. Anyway, in the book he makes a list of all that can be known about Jesus from external sources. And fortunately for you, you don’t have to buy the book because you can read chapter 9 of it right on his web site.

From Tacitus he gets this:

From this report we can learn several facts, both explicit and implicit, concerning Christ and the Christians who lived in Rome in the 60s A.D. Chronologically, we may ascertain the following information.

(1) Christians were named for their founder, Christus (from the Latin), (2) who was put to death by the Roman procurator Pontius Pilatus (also Latin), (3) during the reign of emperor Tiberius (14 37 A.D.). (4) His death ended the “superstition” for a short time, (5) but it broke out again, (6) especially in Judaea, where the teaching had its origin.

(7) His followers carried his doctrine to Rome. (8) When the great fire destroyed a large part of the city during the reign of Nero (54 68 A.D.), the emperor placed the blame on the Christians who lived in Rome. (9) Tacitus reports that this group was hated for their abominations. (10) These Christians were arrested after pleading guilty, (11) and many were convicted for “hatred for mankind.” (12) They were mocked and (13) then tortured, including being “nailed to crosses” or burnt to death. (14) Because of these actions, the people had compassion on the Christians. (15) Tacitus therefore concluded that such punishments were not for the public good but were simply “to glut one man’s cruelty.”

And from Josephus he gets this:

(1) Jesus was known as a wise and virtuous man, one recognized for his good conduct. (2) He had many disciples, both Jews and Gentiles. (3) Pilate condemned him to die, (4) with crucifixion explicitly being mentioned as the mode. (5) The disciples reported that Jesus had risen from the dead and (6) that he had appeared to them on the third day after his crucifixion. (7) Consequently, the disciples continued to proclaim his teachings. (8) Perhaps Jesus was the Messiah concerning whom the Old Testament prophets spoke and predicted wonders. We would add here two facts from Josephus’ earlier quotation as well. (9) Jesus was the brother of James and (10) was called the messiah by some.

So when you are reading the New Testament, these facts are the framework that you read within. It’s a good starting point when dealing with people who have never looked into who Jesus was and what he taught and what his followers believed about him, right from the start.