D&D 5E What campaign order would you suggest?

[Zardnaar]

IMO, it depends on how long you expect to take to get through them, and also how much work you're willing to put in.

I would just skip "Tyranny of Dragons" entirely. It's just not very good IMO.

"Princes of the Apocalypse" is rather better. If you're looking for something to run more or less as-is, this is the one to go for.

"Out of the Abyss", on the other hand, is a bit of a mix. The first half is absolutely outstanding - far and away the best material to-date. However, the second half isn't of the same caliber - there are lots of really good ideas here, but IMO they needed much more fleshed out. (And the climax is terrible.)

So, if you're willing to put in the work to flesh out OotA's second half, I'd go with that one. If not, go with PotA.

Either way, I'd probably pick one of these and ignore the other two entirely - by the time you're done it's likely you'll have more options, and they do seem to be improving with each attempt. So with luck storyline 4 will be better still.

+1 to just skip Tyranny of Dragons.

 

[hbarsquared]

All are good (in their own way, requiring various levels of modification for setting/experience/etc.).

Princes "fits" best with Lost Mines.

As DM, you should do whatever you want, since your players are obviously down with your style and up for anything.

With that said, why not try the "all three simultaneously" approach?

After Lost, provide three plothooks that lead to a dragon attacks, elemental cultist attacks, or drow attacks. Sprinkle flavor of the other campaigns throughout. If in the Underdark, and the PCs are jot enioying it, privide a quick escape (with the threat still hanging as they pursue other problems).

It would be fun/interesting/catastrophic failure. But fun!