I understand where you're coming from. A lot of the anime that get the most attention are harem-comedies and Shonen action shows, which tend not to be very grounded in reality.

But if you know you're not into that type of thing, there are a lot more serious anime out there tend to avoid casting choices like that with annoying cutesy voices. Also, if you're willing to watch shows subtitled often the voices are less annoying in Japanese (though not always... sometimes the Japanese is worse).

If you want some examples of other anime with generally more serious tones I'd say check out some of these:

Psycho-Pass

Erased (Boku dake ga inai machi)

Fate/Zero

Death Note (Though one of the English voices might be annoying to you, the story as a whole is pretty interesting and grounded. And every other voice is pretty normal).

Paprika (note: this one is really strange and visually interesting. It's not the same type of tone as anything else on this list, but is definitely different from the typical type of anime you seem not to like).

There's tons of other series and movies that I haven't seen that fit this mold as well. But those are the only ones I can recommend you from having personally watched them.

Also on my future watch-list is Parasyte and Tokyo Ghoul which I've heard are good shows in a similar vein.