I don't think this has been mentioned here, but Oblivious prevents Taunt. This means that Whiscash can Dragon Dance, Mamoswine can Stealth Rock, Jynx can Lovely Kiss and/or Nasty Plot, Slowking can Trick Room and/or Nasty Plot, and with the imminent addition of Pokémon Bank, Lickilicky will be able to Wish, Protect, and Heal Bell until it faints.
Then again, maybe it's not worth mentioning because everything that gets Oblivious is pretty low-tier (except Mamo) and some would probably be better with their other abilities (thinking Mamo's Thick Fat, Jynx's Dry Skin, and Slowking's Regenerator). I think Wish/Protect/Heal Bell Lickilicky would appreciate this boon most.