What physical coins of bitcoin exists?
Casascius Coins are the ones that have been the most well known, though according to their website they no longer contain any actual bitcoin as of Nov 27, 2013.

https://www.casascius.com/

I am not familiar with any others, though I did find this article to be informative.

The pictures linked in the question look like they may be the Cryptmint coins in the article.

I also suspect that many of those pictures used in articles are just well-done computer-generated images.