As sukiyaki is made of meat and vegetables served in a large pot, we would call such a dish in the UK a casserole. A casserole is a word used in the UK for any type of combination of meat and vegetables cooked in one pot and served at the table from the pot. Most often casseroles are slow cooked over a long period of time.
Beef and vegetables in a stock, cooked in a pan or pot, has a number of possible variations in the UK. Generally, this would be called a 'stew' but may also be called a casserole if cooked inside the oven. In Japan, probably best to just call it by its real name: 'Sukiyaki' with a short explanation if necessary.
It is thin beef slices mixed with different vegetables.
You can say Sukiyaki in English. Every time I go to a Japanese restaurant I will see on the menu "Sukiyaki" and it usually has the ingredients displayed to help anybody who doesn't understand what it is.
So, Sukiyaki is the best way to refer to this food when talking in English, everybody should know what you mean.
There are also many other foods from Japan that stay the same in English, such as Sushi, Sashimi, etc.
Sukiyakiでも通じます。日本からやってきた食べ物の多くの名前は英語でもそのままで言えるんです。
"A Japanese dish of sliced meat".
"Japanese stew".
"Japanese soup".
"Sukiyaki" can be served as stew or soup or a dish with sliced meat and vegetables. It is a popular winter dish in Japan. "Sukiyaki is meat slowly cooked at the table, alongside vegetables and other ingredients in a shallow pot in a mixture of soy sauce, sugar, and mirin. The ingredients are dipped in a small bowl of raw beaten eggs after being cooked in the pot and then eaten. " Sukiyaki" is commonly found at a bonenkai which is a Japanese year-end party.