There are thousands of card tricks, ranging across all styles and genres of magic, and ranging in method from self working mathematical principles to extremely difficult sleights.
A good card trick, whether accomplished by dexterity or subtlety, is a thing of beauty and astonishment. And the more I've learned about magic the more I've come to appreciate the method as well as the effect.
In terms of my own trickery, I rely almost solely on self-working ruses and only the most basic of sleights. But even within that severe limitation there's still a few hundred strong, direct and devilish tricks that can be done.
Some of my favourite virtually self-working tricks are:
Pre-prefiguration, the Circus card trick, the Piano card trick, Gemini Twins, A Swindle of Sorts, Automatic Ace Triumph, Emotional Reaction, or Fogels Triple. All rather classic SWers.
If I feel like adding in a tiny amount of dexterity I may also do: a simple force and reveal trick (many different ones) or control and reveal trick (again, many different ones), or use preceeding tricks to set up for a SW that involves a small stack (there's many of those too).
Even if you just limit yourself to being able to do a false shuffle and cut, a control and a force, and no other sleights there's still a huge range of solid card magic that can be done
