I'm a little surprised no one asked this yet, but why isn't it possible to show your comments in descending order of "great comment" votes it has received? You can do this with upvotes on questions and answers, and since I think comments are the third major activity on SO, I'd like to view them. Even if you couldn't order them, it should at least show the number of votes on the activity#comments page of your profile...
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SEDE queries that you might find interesting:
Going through the first query, you'll soon understand why no one really cares about comments, they are pure noise. And let's not forget that comments are ephemeral... I know of at least one moderator who absolutely hates them and misses no opportunity to delete them.
Here's my most popular comments:
There's nothing wrong with these comments, but none of them is particularly useful and I have no idea why people up voted them. No real value in having them displayed prominently on my profile(s), the SEDE queries are good enough if the only thing you are looking for is to satisfy your curiosity.