Strong from those years of experience, I have come to the conclusion that most of the time, it's simply a problem of getting use to what your hearing. The best example I could give is with Sailormoon . I discovered Sailormoon thanks to the NA dub.
Lets just say it took a while to get adjust to it.
But when I actually did, I liked it as much as I originally did. Well, first things, the story is often changed, as well as the names. The names as well. Fact is, some jokes may be changes, a few other things too, but the global story just can't. Just take it like someone reading a story out loud.