Oh jeez...
Tissues in... I think it was Yakuza 2? They actually DID come in useful in one quest, but only one. I didn't need to keep them afterward. I think I did at least shunt them off into the secondary storage.
Some worm-related junk in No Man's Sky. Again, I did relegate them to a vault, but I still kept them - even though they were clearly designed just for an event that was long since done. (But maybe they'll do the event again some day?)
Oh! In City of Heroes they have "inspirations" which are little tokens that can buff your offense, defense, raise you from the dead, and so on. Even at level 50, you can only hold 20 of them and they drop pretty often, so you can use them quite a bit and still fill your inventory up again quickly. There's certainly no need to hoard them.
Anyway, when Christmas comes around, you can get special "present" inspires that do something random and I think they had some special particle effects. I, of course, kept one as a keepsake. And, when the next Christmas came around, I kept another!
I did finally use both of them in a particularly hard arch-villain fight. In early July. Other people in the battle got a good surprise!