Aesop is a good source for quick little one-off stories. He was from abotu the 5th century, and in the case of Italy, various authors rewrote and recollected his stories because of the attraction of reading the ancient greek texts.
Here’ a source for which ones were available in 5-6th century (the base stories for the collections).
Note it’ll ask you if you want to translate from Norwegian. Translate instead from Latin.
You’ll need to find stories for these titles though.
Update 2015-01-18 – asked in SCA Bardic Arts facebook group
Phaedrus’s Fables. Allegedly 0th century (Phaedrus lived 15BC-50AD) Was published by Pithou at Troys in 1596. Although the largest, oldest and most influential version is Romulus, which hails fro the 10th century (note above link says Romulus). http://www.ciffciaff.org/en/content/fables-phaedrus
In 12th century, Fables of Marie de France.
Here’s a gutenberg version of Phaedrus: http://www.gutenberg.org/ebooks/25512
Here’s an interlingual from 1544, in Greek and Latin, but you can make an index of the titles. https://books.google.com/books?id=sOtDAQAAMAAJ&printsec=frontcover&dq=Aesop&hl=en&sa=X&ei=3nu8VLqCGYq1ggS-i4GgCg&ved=0CCwQ6AEwAg#v=onepage&q=Aesop&f=false