What extrabiblical sources support the existence of Jesus in history? What sources outside of the Bible give supporting evidence to the existence of Jesus and any of the events in His life?
In short


Lucian
Pliny the younger
Josephus
St. Ignatius of Antioch
Tacitus
Suetonius
Aristides
Galenus
Lampridius


I tried to get all those that Norman names. Just a problem with spelling those wholly foreign names. You can find all 19 of them in the video though. 

It is curious to note that even Tacitus who was a rather big critic of the early church never thought that Jesus was a myth or never existed. When even Christianity's first century opposition talk about Jesus as a historical figure then it really becomes unreasonable to buy into this atheist rhetoric of him being a myth.

Josephus is the account is the most violently opposed because it gives such credence to Christianity. The atheist is left with the burden of proof of proving the text suspect. This again becomes unreasonable seeing as all the extant manuscripts of The Antiquities of the Jews says the same thing.

The Christian when confronted with these attacks need to ask the naysayer what is his / her evidence for these texts being suspect? This will probably get you the response of denial of the burden of proof or if the opponent is honest enough he / she will admit their is none.