Extended confirmed users, Mass message senders, New page reviewers, Pending changes reviewers, Rollbackers
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Not having a particular user right doesn't mean you are somehow deficient. Lots of people don't have [[WP:FILEMOVER|file mover]], but that's because there's only a small community of people who care about maintaining the file namespace. But on the converse, having file mover doesn't mean you are an expert on file moving, it just means you've been granted the ability to do it. For some administrators, handing out rights to a reasonably trustworthy user is a very simple way to prevent them persistently making requests of that form.
▲}}Of course, one should be very careful before alleging that someone is hat collecting. Simply responding to everyone wanting rollback or even everyone wanting to become an administrator with the accusation that they are a hat collector marks a failure to [[WP:AGF|assume good faith]].
If you are applying for rights, be sure to show why you think you can improve Wikipedia by having those rights, generally by showing a positive record of actions and attitude. Don't just assert that you'll find the tool useful, give evidence of why you need the tool and you'll dramatically reduce accusations that you are simply collecting hats.