Make a transparent background or animated favicon

Last time, I introduced to everyone how to use an online generation website to create a favicon for your own blog. However, you may find that the online-generated favicons are not very aesthetically pleasing in some aspects. For example, their background is not transparent but white. This might not be noticeable in the browser's address bar, but it doesn't look as good in the browser tabs. Upon closer observation, you'll notice that many websites have favicons with transparent backgrounds. For example, commonly seen ones like...