None that outright do so, but I'm sure there's some niche situation where a move doesn't activate a specific Berry or something along those lines. You can really reach and say something like special moves ignore a held Jaboca Berry, or a non-Ice move ignores a Garchomp's held Yache Berry, but that's just grasping at straws by that point.
The closest thing you could get is Magic Room, which disables the effects of all held items for five turns. It doesn't ignore the items itself per se, but it allows other moves to do so.