Fate Order. Start with the anime that came out first and gradually work to the most recent entry. "How do I Watch the Fate Series in Order?" - Ask this question to a group of Fate fans and receive more answers than there are fans in the group. What Order Should You Watch All the Fate Anime Series.
Another handy option is the smartphone game Fate/Grand Order, where players must go back in time and fight to prevent the extinction of humankind in the greatest Holy Grail War yet. Chaldea, an organization tasked with observing Earth's future, has confirmed that human history will be eliminated. The dungeon in Fate has a randomized layout for each level.
However as a disclaimer there isn't a Fixed order to it, although it is recomended you watch the series in a specific order so you can prevent spoilers to other parts of the series, for example, many people got in through Fate/Zero, and that is the prequel to the main series Fate/Stay Night, so lots gets spoiled.
Fate/Grand Order is an online mobile free-to-play RPG game based on the Fate/stay night franchise by Type-Moon.
Caldea is an organization established to observe the magical world and the world of science - as well as to prevent the final extinction of mankind. This type of game is also known as a dungeon crawler, in which the player takes his/her character through progressively difficult levels of a dungeon, fighting monsters, completing quests, collecting valuable items and gold, and improving the character's attributes and skills along the way. The story of the Holy Grail War is a must-see, but with so many anime renditions of the Fate universe, what's the best path to take?