You mentioned charms, that does need be saved
If I remember correctly, cloth don't need to be saved, thread does.
Stamina pot to an extend, some event have no daily limit on how many event item/point you can get from instances (and some have a high limit/low drop rate such that using pot still might be beneficial)

I think that's about it.

There are thus far no event related to purify or mood scroll.

I think, I'm not 100% sure on this, that the character plate event (where you spell out NARUTO) and the current Time limited shop ones are the unlimited ones. I'm fairly sure on the plate one.... I'm sure someone else would know more on that subject. But there ARE unlimited ones.

beheading is also a common in edo treasure where there is a feedback going on ryt now...
I'm sitting on 3 star +86 frags right now, I'm not entirely sure how many frag I had before from survival/chase but I i didn't have him before starting to pull edo tensei. Between the last and this edo tensei feedback, I pulled a total of 300.

Also, last tendo feedback was on May 14th

Two reasons:
1. I got him out of Edo, if you read my post, quite a lot of it.
2. It is listed under where you can get his fragment in the ninja tab (where you recruit/upgrade star) The list is incomplete for a lot of ninja, however anywhere it is listed, you can get it.