I wouldn't necessarily have a problem with any of those, as long as it's done well. There's nothing wrong with using the classics once in a while.
What I have a problem with is "Stop the summoning", where the PCs have to stop something (often not specified beyond "Use something with an epic CR") from being summoned by mad cultists.
I don't have many issues of Dungeon, but I have #114 (the one with Mad God's Key), and all three - all three - adventures in there use this plot device. Many of WotC's free adventures seem to use it as well. This is particularly bad because if world-ending summoning attempts happen so often, like in every single place the PCs happen to go, surely they must happen when the PCs are not around something like 100 times a day around the game world.