Flash runs in a low-priv environment is nearly every major browser, includes application-specific exploit mitigations, and it silently auto-updates, just like Chrome. It's all a matter of the Flash install base: it's in 90%+ of browsers and it's running the same-ish codebase in all of them, making it a relatively stable platform to develop exploits for. That's it! It's more a factor of market share and not "security."
Every document reader, HTML renderer, JavaScript engine, browser, media player, etc that you use is the same -- a house of cards built on poor memory management :-/.