Although it's not Aramaic, by now you've probably heard about the Coptic fragment from the 4th Century that mentions Jesus talking about his wife. I'd like to share the above YouTube video about it which features Dr. Karen L. King (of The Gospel of Judas fame) who was the primary figure behind its discovery and describes her findings magnificently.
Also, for the record, *this* is how you properly discuss a new discovery. Bravo Dr. King. Bravo! :-)