What is the order of the Danganronpa anime and games?

Answer 1

The other response was very accurate, however, my (and many fans') preferred order to play/watch the series is:

1. play Danganronpa: Trigger Happy Havoc (or you can watch Danganronpa: The Animation, as they are the same plot, but it leaves out many details)
2. play Danganronpa 2: Goodbye Despair
3. play Danganronpa: Ultra Despair Girls
4. watch Danganronpa: Future Arc and Despair Arc by alternating episodes (FA ep 1, DA ep 1, FA ep 2, DA ep 2, and so on) (I personally watched all of Despair Arc and then all of Future Arc and it still made sense to me, but technically you're supposed to alternate)
5. watch Danganronpa 2.5 (this is Nagito's OVA and it is the only anime so far that does not have an official English dub, though there is a fan-made one on YouTube) (this anime is one episode and isn't necessary to watch, as most of it is (spoilers) in Nagito's head, sort of like a dream, but I personally like it a lot and think it adds a lot to Nagito's character)
6. watch Danganronpa: Hope Arc (this is a one episode anime that takes place not long after the other arcs and almost immediately after 2.5)
7. play Danganronpa V3: Killing Harmony

(obviously when I say play, that just means it is a game, though you can watch playthroughs of the games on youtube)

Answer 2

I'm not sure if you mean the timeline or what game/anime you should play first but I'll do both, please don't read the timeline section if you haven't finished the series.

What order to play;

1. Danganronpa 1 Game/Anime; Trigger Happy Havoc

2. Danganronpa 2; Goodbye Despair

3. Danganronpa Another Episode; Ultra Despair Girls

4. Danganronpa 3 Anime; Future/Despair Arc (choose any first but I recommend the Despair Arc first then Future but your choice)

5. Danganronpa 3 Anime; Hope Arc

6. Danganronpa V3; Killing Harmony

Hope this helps, if you meant the other way then read below but they do have spoilers so do not check below if you haven't finish the series.

Timeline (spoilers); First was the despair arc where you see the school and how the remnants of despair came to be that way. Next, Danganronpa 1; Trigger Happy Havoc started as the first killing semester. Next, once the Future Foundation form, Danganronpa Another Episode; Ultra Despair Girls happen, it's like a game which shows you what happens after Naegi and the other survivors escape and try to save the captives which were going to be used as a motive however it was left unused. Next was future arc where there was a new type of killing game? This also could be placed after Danganronpa 2 though. Next was Danganronpa 2; Goodbye Despair where they were put into the Neo World Programme to bring them back to their normal state. Then we have the hope arc and last of all, Danganronpa V3; Killing Harmony.