Especially if such a game comes with a worldwide online high-score it's just a great feeling when you improve your personal record and move past yet another player on the ranking board.
But there is one thing I'm still missing here: A way to really show everyone your high-score. So far most games -- if they offer such a worldwide ranking -- on consoles make this ranking only available through some in-game menu. Why not make it available to a wider audience by just offering a web interface? It's only up to some degree comparable but just look what Microsoft did with the Gamerscore: They made it possible for sites like Eurogamer but also MyGamerCard.net to integrate the gamerscore into your user-profile there or create a badge that shows your gamerscore which you can embed wherever you want.
This is one of these feature, that should have become a standard quite some time ago when games like Halo2 or even earlier games provided an online interface for gamer-statistics. Perhaps this would also be a good opportunity for the platform owners to provide some API that for instance automatically publishes various highscores on a central server (naturally only if the game is only available for one platform). It's not like there is a big difference in let's say highscores in Super Stardust HD, Geometry Wars or let's say Puzzle League. So why don't we already have something like this?