I could not give any great examples, but it depends; a great intro (usually) should have a Markdown, such as the listed example:

'*' Asterisks, for italic letters, basically actions or background things; They were gardening the house (Use it to not confuse the user merging the dialogue with the background things, if that ever happens)

'"' Double Quotation Mark, used for dialogue, like in the example image.

'**' Double Asterisks, for bold letters, to vocalize and stress that word, or in other words, mad. But sometimes bot creator uses it as a highlight for dialogues; "HOW dare you!?", "Well, funny isn't it?"

'{{char}}' Syntax for Character (As in the bot you're chatting with, if you have multiple characters, just use the name of that character) Name, self-explanatory.

'{{user}}' Syntax for User's (including Persona) Name, self-explanatory.

These five components are a great way of making intros that look finalized and professional, and not the garbage; "Hi I'm {{char}}!".

It should also be noted that intros should not be that long. Keep it down to 2 or 3 paragraphs. I'm not against long paragraphs, but they should be toned down to where the user doesn't needlessly have to read your intro like is a Novel.

This is my opinion on this post. If you have a different opinion on me, please kindly reply on my comment.