The flintstones were popular, but there has been several remakes in OUR generation to date. I doubt the popular anime will die, but anime dying can also be a good thing don't you hate amateur anime like "B-Daman" and "Beyblade".
For one I hope they do die, as anime as a genre could be tarnished by crappy shows like that, in the near future when we show our kid's the re-runs of naruto,dragonballz,bleach and various others etc.
To be honest in the future when I leave school and get a job, I wont care for anime as much as I do now. Sure I like watching it but i'm not a fanatic and realise theres alot more important things in life. But i will always have the fondest of memories, for the conception that was anime.