Can you use this face paint for miming?

The person that answered you answered incorrectly and lack the experience and understanding of the product, You can look up in Youtube videos under cosplay and Ben Nye and you will find instructions. The Youtuber explains you do not clump it directly to your skin with your fingers or it will go unevenly instead place it in the palm of your hand then swirl your hand in circles creating heat friction then apply with the palm of your hand and it will go on evenly, the key element is heat! So if you have a cl;ump on your hands or when you spread it then it will not work. It must form a thin even layer on your hand when you do the heat friction then apply to your face, She also uses 99 cents hair spray to keep it from running from the elements. She does recommend a foundation between the skin and cream then powder for a longer lasting like 8 hours, but she says to test it out yourself. Everyone is different when perspiring from the skin overall she shows that you can do this cheaply without breaking the bank.

If someone has oily skin, should the white look shiny after applied and powdered?

Good question, but I don't know the answer.

Does this require any special makeup remover to get it off?

It doesn't require any special makeup remover. I like Ben Nye because it's very water resistant but it comes off easily with bar soap or any facial cleanser.

How could thius be applied to eyebrows when playing santa claus

It doesn't completely cover the eyebrows, but I'd say probably your best bet for a Santa Claus look would be to either bleach the eyebrows or just dying them lol But if you wanted at least a little bit of coverage with the Ben Nye makeup, I would suggest just taking your finger and dabbing it lightly onto the brows. Hopefully this was at least somewhat helpful lol