Well, probably never die.
Since finishing the main story of Final Fantasy XIII-2 last weekend I've spent the majority of my time in the game hunting down any and all monsters I might have missed in my journeys. I blame the Pokémon franchise directly for my obsession; the slogan wasn't "You gotta catch most of them and then do something else" after all.
No, I will not rest until they are all caught, and with Square Enix promising more catchable critters via downloadable content I see no end of that quest in sight. I'm doomed to wander the world like some sort of fabled Chocobo.