How to see other celestial things using stars for direction?
Use a constellation map! That will provide much of the information you need.

Here are however some things you can try to spot:


On the lower left hand side of Orion, you can spot a very bright star, Sirius, in fact the brightest one in the sky. It is part of the constellation Canis Major (great dog).
A bit further left and up you probably see a star nearly as bright as Sirius. That is Procyon in Canis minor (lesser dog).
Up, and a little bit to the right from Orion you can see a very red star. That is Aldebaran in the constellation of Taurus (the bull). In the same constellation you can see the Pleiades, a bunch of stars in a cluster.


Taurus with Aldebaran and the Pleiades: