My understanding is that none of the Gospels were contemporary with the alleged man, and that the next most contemporary chronicler was Flavius Josephus (whose position later in life would appear to make anything he wrote highly suspect).
Are there any direct records or sources that are considered historically reliable to confirm the existence of Jesus as an actual person, rather than a mythic figure?
Yes, the general consensus among historians is that Jesus existed; that said, his existence doesn't imply miracles, divinity, etc.