Log in to your account at https://bandcamp.com.
Open the browser console — press F12 if you use Firefox, Chrome or Safari.
Paste and run the following code:
alert(`https://torunar.github.io/bandcamp-liked-albums-widget/?fan_id=${JSON.parse(pagedata.dataset.blob).identities.fan.id}`);
Use URL from the pop-up message to embed your liked albums list anywhere:
<iframe src="{widget URL}" width="690" height="720" frameborder="0" />