Oh I see. This is pretty much how Android addresses that issue. I notice when my LED is blinking, because I routinely clear my notifications when I'm done with them, which also stops the LED. I also turn off notifications from frivolous apps like Facebook, because I don't need to know when someone Liked my post. So when I see my LED blinking again, I know there's something important to check. And since I routinely clear my notifications, it's very noticeable when a new notification pops up.
It may not be what you're used to if you came from a different platform, but getting used to a new system will always be the case when you change platforms. There are a number of apps available on Google Play that can make the lockscreen look more like iOS, if that's helpful, so that missed calls or voicemail notifications are plastered prominently on the screen.