Seconding Canas statment here - I'd like to see more lore for my specific weapon, not for the relic in general.

What I would also like to see:

- Trials, that are designed for the relic-quest again, like Hydra and Chimera, with a difficulty between NM and EX. Make us earn this weapons through at least some level of skill again, like Titan HM did!
- Riddles/places to find to get some items to progress. A bit in the style of Alexandrite-maps. I wouldnt mind it being maps again, but I'd prefer something that has a bit more varation in it again. Maybe something like a mix of the maps, the wedding quest and the riddle quests: you purchase an item with tomestones, that gives you a hint where to use it to enhance the weapon. Lets say its a bottle of enchanted water thats meant as a sacrifice. Or you're buying an old book that gives you a clue on where to find a special ore, something like that. You figure out the clue, you get to the place (here could be variation again: The place could be inside a dungeon, so you need to run the dungeon. Or once you reach the place in the open world, strong mobs spawn. Or it includes doing a light jumping puzzle.), spill the water, get your ore, whatever.
- I'm biased here, being a mastercrafter, but I wouldnt mind seeing crafting involved again - I get that not everyone will like that though.
- I want to be able to solo it or rather to progress by myself. Eureka does a terrible job at letting you solo AND play with your friends. If you want to work on your relic together, you have to be of the same elemental level, so you basically have to always stick together. Like a relic-static. The HW and ARR relic always allowed you to continue the quest with your friends, even if you're at different stages. One could be running a dungeon for their book, while the other one joined to grab tomestones to buy their next one. I want that back: The ability to switch between solo-ing and playing with friends, without anyone being a liablity.

What I also desperatly want back are options. I "liked" the light-states because they allowed me to do whatever content I felt like doing, while still progressing my relic - it gave me a really nice feeling of getting stuff done.
Same with the feeding-part in HW, where you can just pick what you wanna do to get crystal sand.
Eureka locks me in one place, with no choice but to grind excatly one thing: mobs.

What I also think we need back is the ability to pick up the relic-quest at anytime - I havent been into Anemos lately, but I know that I eventually only went in, because I was worried that if I dont do it now, I wont have the chance in a few months, because my assumption is that Eureka (at least Anemos) will be dead by then. That plays into the soloing stuff part aswell.

In short: I'd like a more engaging questline, with more intresting objectives and more variety in general.
I dont mind if it includes backtracking to older content and/or a grind and/or a massive amount of tomestones, as long as it also offers some fresh content, an actual challenge and a story/lore for the weapon beyond "Rowena made Gerolt craft this".