Adding Playlist to a User Profile

I followed the adding a YouTube playlist to user profiles: 

• Video: Click Here
• Article: Click Here

It did not work as there was a message indicating that Flash is no longer supported. 

Is there an updated way to add a YouTube playlist to user profiles?

Well that's from 9 years ago so may not be entirely relevant now. Now you just need to use the embed feature at YouTube and copy over the HTML to your Custom HTML field and that's it. If you want to allow users to do this themselves you'd need to substitute in the relevant information like the embed URL from a text field for example then assemble that in either the fields layout or a Custom HTML field. You could also look into using CB Gallery and just let them link directly to videos easily.

Using the abovementioned "Video" instructions, a user's playlist can be shown in their profile, using the following code:

How can I make the text field title disappear when no embed code is entered into the embed code field?

Add [cb:else][value][/cb:else] just before [/cb:if] for it to continue to output normal field display if there's no value.

I added the code as instructed. 

Now, "[value]" appears when the YouTube embed field is left empty. 

Is this in a Custom HTML field or the layout parameters of cb_embed_code_favorites? You shouldn't need a Custom HTML field as you can use the layout parameters of cb_embed_code_favorites to alter its profile display and that is where [value] would work. For Custom HTML fields in the cb:else just put whatever you'd like it to display if there is no cb_embed_code_favorites value.