The Book of Memories:
An amethyst purple version of the Book of Vanitas from Vanitas no Carté that Allows Alya to alter her existence slightly letting her have the knowledge of any of the Forgotten souls inside her. This knowledge ranges from masters of stealth to politics to robotics. Can also summon light constructs of the original who had such memories so they can pass on their knowledge directly to Alya essentially training her.
The Mantle of the Wayward:
Is essentially every single armor in existence in one piece of equipment with every enchantment that benefits the one wearing it including self regen.
The Armory of the Lost:
Similar to the Gates of Babylon with the some differences being it is silver in color, and has infinite copies of everything except armor, and living things. Which means it has Jets, weapons, books, food, and more. Can also choose to open without being ordered to in order to aid/protect Alya.
The Physiology of the Forgotten:
This ability is in essence a combination of multiple defense, and strength enhancement abilities. It grants adaptative ressurection, high speed supernatural regeneration of SCP-682, pain nullification, and Toji Fushiguro's Heavenly Restriction, Sitama's durability, the ability to trun into spiritron particles, and finally an battle instinct skill letting Alya both know when an attack is coming from over 900 kilometers but also tell if it has killing Intent behind the assault.
Gateways beyond Oblivion:
Allows for Alya to open portals to anywhere in fiction. These gates also absorb, and add anyone dead, and forgotten into the pool of souls that make up Alya's being.
Voyager's Pass:
Once entering a world Alya isn't seen as a "foreign" being instead she is given a random plausible past that slightly alters reality, and grants a temporary name. It also has the double edged effect of granting the memories of her false persona.
[A/N: Sorry I forgot this one was on the Google doc I had made aka I forgot to copy it when I did the others above. Happy I caught it now anyway bye!]