Destiny 2 is pretty much just more of the same so if you like the first Destiny you will like the second.
DayZ doesn’t really have much story to it. You spawn somewhere in the countryside of Chernarus, a fictional Soviet country, which is zombie infested and run down. You have to scavenge food, water, clothing, weapons, medical supplies etc while fighting off zombies and other players that want to kill you and steal your gear. You can team up with other players and build bases and cars or just go about yourself ambushing other players or hunting, fishing, cooking etc. The goal is just to stay alive.