“An anime you wished was real”
For the most part, whether it’s because of cities being destroyed in the series, post-apocalyptic settings, or the idea of just anybody having access to tremendous destructive power, I wouldn’t want most anime to be real.
The first good “safe” answer I thought of was My Neighbor Totoro. That way a lot of cool magic stuff gets to be real without Tokyo being underwater or tennis games being able to cause mass extinctions.
Pokemon being real would be even better; it’s just as safe (in actual practice, anyway; events that could have been disastrous have happened) and just about about everyone has Pokemon.
But there’s one other that, while not quite as free of potentially deadly conflict, might be just about as good: Astro Boy. Sure there’s enough anti-robot sentiment to get conflict out of it, but overall it’s one of the most optimistic views of the future around, anime or otherwise.