If you really want to see an anime where the male protag isn't a pansy, I don't recommend this, but you kinda did ask for it....Seen it.Spoiler for Hidden:
It's called "Comedy" get it or GTFO! Seriously though, it's a standard comedy trope. Which is starting to run its course. Though, there are other forms of anime where the male character doesn't run away.It ran its course with me a while ago.