Does setting a musical ringtone or posting anime pictures that might lead others to listen to or view prohibited content (such as songs or pictures of women) burden me with their sins?

It is not permissible to use musical ringtones for mobile phones, due to the prohibition of music and listening to it. There is also a concern that whoever does so might bear the sin of guiding others to it if someone else hears it from them and then uses it, based on the Prophet's (peace be upon him) saying: "And whoever introduces a bad practice, and it is acted upon, will bear its sin and the sin of those who act upon it, without diminishing anything from their burdens." This ruling also applies to posting animated images that include something forbidden on social media pages. However, as for publishing permissible content that people search for in other accounts that contain forbidden things, we hope there is no sin in that.