I couldn't fit Prison of Elders into the list of options.
I think my favourite activities are the Strikes. I like that it uses Matchmaking as it's easier than getting a Fireteam together, it provides a challenge and the rewards are OK.
What's your favourite?
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strikes 'n crucible I do find the patrols is an endless time waster, that I spend too much time in. Especially you can hang out in one region and the taken keep spawning in, and public events randomly, it's kind of fun and seems to give a lot of engrams now.