Every story needs conflict of some kind. It doesn't necessarily have to come in the form of fist-, sword-, gun-, etc. fights, though.

Without some form of conflict, there is no plot.

There always is a conflict of some form, though sometimes it might not be very obvious. Still, I believe there could be a story without one.... but you gotta be a real genius to write that and make it interesting.

The only stories I've read that have no conflict and are still (mildly) interesting are those written for children. Then again, they're written for children, who don't necessarily find "conflict" interesting.

I like conflicts but not deaths of the characters

Story without conflict isn't a story XD

all stories need a conflict, regardless of the type. Otherwise....it wouldn't really be a story, now would it?

As with all stories, conflict is needed to engage the reader, and entice them into reading on, or playing on, or watching more.

Well, it depends. When you read, you usually create an image of the story in your mind, and sometimes media adaptations kind of ruins it. One of these examples could be Eragon, which I hardly think anyone liked. But sometimes you want, or expect, a part of a novel you liked to be animated or filmed, and you're eager to see it on the screen. My most recent event I can example is in the newest Harry Potter movie, the "Three Brothers" scene, which was really like what I expected.

A story, by definition, requires a conflict. Without one, you have no plot, and thus, no story.