Can someone list some coins that typically go up when bitcoin does and coins that go down when bitcoin goes up?
There is nothing like that exists and never it will.
Altcoin price, even when bitcoin price is increasing doesn't always have a price decrease movement. Volumes are vary everyday and we can't say that most of the altcoins will just decrease their value just because bitcoin price is increasing.
If there is a list like that then everyone should always have a big income everytime they do altcoin trades.