Table Tennis Backhand Stroke

Dmitry Ovtcharov demonstrating the backhand loop stroke

Here are some good resources for developing good basic backhand strokes and also some on advanced Backhand techniques.

The commonly employed strokes on the backhand side are the following:

Backhand Push
Backhand Counter
Backhand Topspin
Backhand Loop
Backhand Chop 

By far the most common among amateur to semi-professional level is the backhand counter hit.