There only 4 types that fit your description and they are:
Grass: grass used to be a special type but now it has 17 physical moves and 14 special ones.
Poison: poison used to be physical but now it has 10 special moves and 6 physical ones.
Ghost: this one was surprising, ghost actually has more physical moves that special ones which means that game freak was right when making every ghost move physical from gen 1 to 3. Ghost has 6 special moves and 13 physical ones. Even less than half
Dark (obviously): dark used to be special for some reason but now it has 4 special moves and 23 physical ones. I don't know what game freak was thinking making all dark moves special from gen 1 to 3.
Keep in mind that I included Z moves