As of now, it seems to check which achievement award I did not claim and need to check each achievement subcategories, e.g. battle, trials, raids. There are dozens of subcategories. It would be much easier to have the ability to check all the unclaimed achievement awards in one page.
I believe they are changing how the achievements are shown in an upcoming patch (5.5?). I’m not sure if this is part of that, but I would like to be able to filter achievements to just show which give titles, which give items etc.
And, perhaps not exactly what you said, but to list all rewards I have earned but not yet claimed.
You can filter any combo of these:
Unfinished
Completed
Mount rewards
Minion rewards
Gear rewards
Misc. item rewards
Title rewards
But I can't find a way to show me only those achievements I have not Claimed yet. Either in specific sections, or overall. So, what I did was I checked off everything but Unfinished, and then clicked on each section at a time. It at least makes it a small and easy list to check. But still, like a true Repair All option, would be nice to see anything Completed but not Claimed.