My wife wanted a skinny pot and we also need a new orchid pot, so I modified hathawsh's design to be parametric.
This is a work in progress because I haven't actually printed it so I don't know how it will work.

You give it the lower radius, upper radius, height, thickness of the pot, and the number of holes and the appriate pot and base will be created. I also added runners on the bottom to slightly raise the holes to allow drainage. If you want an orchid pot, add a true parameter and it will make slits instead of holes.