Easter Eggs are generally pop culture references and other fun topics the developers place into the game for players to find, and of which don't have any large direct impact on the game's progression.
The Dwemer Script appearing in this game, predominantly on the Dwemer Pipes, is a reference to one of the Developers, Gary Noonan. 
Fishy Sticks are normally used on the Bethesda Forums to welcome new members. Morrowind recognizes this, and included Capn's Guide to the Fishy Stick, which is entirely unreadable.
When starting out from Seyda Neen, players will often encounter a Bosmer called Tarhiel who will quite literally fall from the sky. From him can be obtained the Scroll of Icarian Flight, and his journal, which reveals a story similar to the legend of Icarus.
In the Omalen Ancestral Tomb, a skeleton can be found seemingly crushed under a rock, grasping for a ruby. Its identity is revealed after reading his supposed journal, titled A Dying Man's Last Words.
A deceased former Census and Excise governor in Seyda Neen, Processus Vitellius's name can be translated to mean "The process of vigilance". This was likely done due to him working for Census and Excise which is an organization dedicated to managing census counting, and for tax/excise purposes for the Empire.
M'aiq the LiarEdit
- Main article: M'aiq the Liar/Morrowind
One particular thing he says in Morrowind is about Weresharks, in which he says: "I have only met one, but he was afraid of the water." This is a reference to were-creatures from The Elder Scrolls II: Daggerfall, belatedly returning in the Morrowind expansion Bloodmoon.
When asked about multiplayer, he replies with a clear reference to L33t speak, as well as the want for multiplayer in the game, he says "M'aiq does not know this word. You wish others to help you in your quest? Coward! If you must, search for the Argonian Im-Leet, or perhaps the big Nord, Rolf the Uber. They will certainly wish to join you."