As the title says, how about making available "trophy" style badges, that are globally unique (only one such badge exists per site), and is bestowed to the current holder of some sort of record. Records, of course, can be broken, so the badge is not permanent and is transferrable.
It would be nice if a "shadow" of the trophy still remains after a user lost it, even if just for the memories =) Would be even nicer if each trophy has a dedicated historical trail page that other people can follow.
Some obvious overall records are:
- Highest rep points
- Most rep gain in a day
- Most rep lost in a day
- Highest average points per day
- Quickest to [Mortarboard], [Epic], [Legendary]
- Quickest to [Enthusiast], [Fanatic]
- Most [Enlightened], etc
- Most successful bounty hunter
- Most [Tumbleweed] (sad!)
You can also have daily records that are reset every day:
- Most rep gain yesterday
- Most acceptance yesterday
You can also have week/month counterparts too, of course.
Note that the "Quickest to" records are not defensible. A user can only set that record once in his lifetime, and if lost afterward, can never won it ever again. Some users will never be able to win it ever, period.