Becoming a walking beatbox after using flute/lute. The sound effect will persist on your character. This is not very pleasant in group content, as the sound of these audio elements will tend to dominate all other audio instances.
False Gods Devotion's visuals will persist on your character after the set's bonus has ended. The sound effect will trigger after your character does an action like using a crafting station. Not sure if Vicious Ophidian is affected as well.
The only way to fix these issues is to trigger a loading screen.

Populate this thread if you encounter other such bugs.