By gestures, you have to make them guess what the picture is about.

With gestures, you have to make them guess what the picture is about.

By body language, you have to make them guess what the picture is about.

With body language, you have to make them guess what the picture is about.

By mime, you have to make them guess what the picture is about.

With mime, you have to make them guess what the picture is about.

(Which expressions are right? Which preposition do I have to use?)

Either is grammatically correct, but you would be more apt to use "With" for each one.

Sra