Personally as someone who played the game, I think the anime didn't live up to the game. I think the pacing was really bad considering they had 13 episodes to work with.
I can see the similarities between Danganronpa & Mirai Nikki, with both having a "death game" concept. So if you liked Mirai Nikki, you might like Danganronpa.
So I would say to give the anime a chance if you aren't planning on playing the game.
