Plot Points from DMG
Not technically a house rule, but a variant from the DMG that we love is Plot Points. Once per session the group can declare a Plot Point that changes the current events. They must also develop a setback. DM must approve (so they can’t just Plot Point that they have unlimited wealth or something).
My favorite so far was when a character earned a level of Madness and thought he could fly. He tried to prove it by jumping off a cliff.
Plot Point: He actually can fly.
Setback: His flying speed is 5ft.