Unclear at this point. I do feel that her "list" never gets completed. She doesn't do all of the list personally. Some will die by the hand of others and it gets crossed off the list inadvertently. I think the list served its purpose. In those early days it gave her something to hold on to, gave her focus, as she dealt with the horrendous events that happened to her. It was all and everything she had to keep her going.
If someone crosses her path on the list... Dead. But I think when she eventually extricates herself from the FM and starts moving in a direction, anyone tied to the events of what happened to her and her family and are not on her list, will go. There may be more not on her list as she goes along. It won't be random nor will she kill many, but I think it will be 100% that they deserved it in connection with Arya and her family. I can't throw out names; there are too many.
Bottom line: Too many that were never on her list that really contributed to the downfall of the Starks, are people she may become aware of. She will get out eventually and will receive more info. Too many characters, as a story device, act on having not enough info or spotty, bits of info that are not accurate or in pieces. Once she leaves the FM, and the catalyst event happens. By that I mean, I believe something snaps at her, something jarring connected to her old life, and she leaves the FM. (Finds out a sibling has been spotted, or something that compels her to strike out for home or towards something or someone.)