Ceremonial Elixir of Scholarship at
https://everquest.allakhazam.com/db/item.html?item=35074 is the only really critical one that comes to mind. The quest is character flagged though so, only 1 time per toon. In other words, you can't come back next year and do it again, if you have ever done it once.
See
https://everquest.allakhazam.com/search.html?q=anniversary for a full list of tasks.
There are some nice Fabled augs if you're not close to max and/or taking your time. And a few Fabled clicky items that now only drop during Fabled time and not ever otherwise. That darn AC clicky buff in Greig's End, that I still haven't gotten nor the normal or Fabled one from Tunare. They're Ranger / Druid Self-only buffs so I didn't really care until I started playing a Warrior as my main. See http://eqitems.13th-floor.org/itemsearch.php?name=fabled for a nearly complete list (Alla search is having trouble with Fabled atm, but you might try again later).
Most of things like Giants, Giants, Giants is usually a summer time event (nice charm aug), and the clicky Ice Goblin illusion (no swagger while fighting and pretty small size) is during Frostfall (Christmas / New Year's) time.
Yther Ore.