I’d be for adding some interesting stats to the profile page, but that will have to wait until it’s redesigned, which likely won’t happen in the near future since revamps of notifications, subscriptions, and other parts of the site would probably take priority.
Also, I’m not a developer, but I think something like could be made by a third party using our API. This little streak finder is pretty fun, for instance.
As someone who’s spent a lot of time doing exactly that when playing a video game, I understand its motivational power (so many hours playing Fallout). However, as I said before (which @bouteloua quoted), our hope is that people find using iNat and exploring nature to be intrinsically motivating. There are also some downsides to competitiveness when it comes to iNatting, such as creating false observations, trespassing, trampling habitat, bad blood between users, etc.
I’m going to close this request because it will be some time until we start working on a new profile page.