Here is Moon-chan's video for the katakana characters ダ、ヂ、ヅ、デ、ド (da ji zu de do). Watch from 2:29 to 5:04 for examples of words containing these katakana characters.
ヂ (ji) and ヅ (zu) are two of the least-used characters in all hiragana and katakana. They are so rarely used, my word processing software doesn't even have the ability to type them out. (I was only able to put them here by cutting and pasting them from somewhere else.) Moon-chan says there are no common Japanese words containing ヂ and ヅ. I personally didn't know any Japanese words that contain either of these two katakana characters.
At 4:52, Moon-chan translates ドラマ as "drama", which I think is a little confusing. I think a better translation would be "TV soap opera."
Examples of ヂ (ji)
We sometimes see names that contain ヂ or ヅ, but I think this is only for dramatic effect. I suppose it's 'cool' or 'exotic' to use them, when there are more common characters that can be used. Below is an example of a company called Tsuiji Kabushiki-kaisha. (The word kabushiki-kaisha means incorporated company, so Tsuiji Kabushiki-kaisha translates into the company name Tsuiji Incorporated.) The company uses ヂ in its logo (red arrow) and ヂ in its company name (green arrow)
It seems the Chinese syllable 'jiu' (九) (nine) is often transliterated into katakana as ヂウ (jiu). Below is a Chinese restaurant named Jiu, in the northern Japanese city Marioka. (The Chinese syllable jiu is often pronounced like the English name Joe, but I have to wonder if this restaurant's name is pronounced like the ethnic name Jew.)
Below is the name of the southern Chinese city Kauwloon, written in Mandarin Chinese as Jiulong, and in katakana as ヂウロン (jiuron).
Below is what appears to be a grinding wheel called ヂテクマ (jitekuma), presumably a power tool attachment.
Examples of ヅ (zu)
Below is a person's username ヅヅ (Zuzu) on Twitter.
Below is a company named Ezure Interia Kabushiki-kaisha (Ezure Interiors Incorporated).
Below is a ヘアブラシ (hairbrush) for sale called Zuzu Maru Honey Hairbrush (ヅヅ丸Honeyヘアブシ).
The example below is interesting because I think it is a 'new' attempt to render into Japanese a sound that does not exist in native Japanese, the sound 'dzu', which is at the end of the English word 'airpods'. (Many years ago, when I was learning Japanese, I think such usage of ヅ was unheard of, but it may be increasing in today's Japanese. Does anyone have ideas on this?) This gives us the katakana word エアポッヅ (airpods).
Here is Moon-chan's video.