Is one sinful for providing programs for downloading videos, despite suspecting that they will be used to download songs or videos that contain music? And is one sinful if he downloads games onto others' devices?

Assisting in sin is forbidden by Islamic law, based on the Almighty's saying: "And do not cooperate in sin and aggression," and Ibn Taymiyyah's statement that whoever assists in disobeying Allah is a sinner.

This prohibition requires knowledge of the assisted person's situation or a strong presumption; mere doubt does not necessitate prohibition.

So, if you know or strongly presume that a person will use a website or program for something forbidden, it is not permissible to assist them.

As for fear of causing sensitivity or discomfort, it is not an excuse to commit something forbidden.