I've never been a fan of Cursed items, and from memory 5e does a poor job of implementing them, probably worse than AD&D was (where they at least fit into the 'save or die' type mechanic, i.e. something for DM's to pick on their players with). That said, I don't recall any items in 5e that I'd *never* give out - with so few items given, compared to what's available, you just never know when something might take your fancy and end up in your game; it's all a matter of context.
For example I once ran a 3.5 campaign where a player got an intelligent item, a talking (sentient) Horn of Valhalla. It was kind of a joke initially, but it was actually a cool item that added value to the game all the way through to the end, which was quite a few levels. I think it helped that we only had 2-3 players, so an additional Personality in the mix, from time to time, wasn't a big deal (the PC in question was an Ogre, and also had his own personal Dire Elk to ride, and so on - it was approaching Epic level). Basically, the magical horn was a minor NPC.
Oh hang on - one item I'd probably never put into my game would be the Head of Vecna... you just never know how stupid your players might be...
But I have used the Hand of Vecna, in Age of Worms, twice - first time the group was pretty tempted to use it I forget what happened in the end; second time they burred it in the centre of Oearth. Oh, and in AD&D days I definitely handed out the Sword of Kas, but those days were pretty dumb...