Royalty & Nobility:
* Queen Victoria: While not a graduate in the modern sense, she spent time studying at St Andrews.
* Prince William, Duke of Cambridge: Graduated with a 2:1 in Geography.
* Catherine, Princess of Wales: Graduated with a 2:1 in History of Art.
Politics & Law:
* Clement Attlee: Former Prime Minister of the United Kingdom.
* Henry Dundas, 1st Viscount Melville: Influential figure in British politics.
* Gordon Brown: Former Prime Minister of the United Kingdom.
* John Major: Former Prime Minister of the United Kingdom.
Science & Technology:
* Sir James Black: Nobel Prize winner in Physiology or Medicine.
* Sir David Brewster: Physicist and inventor.
* Joseph Black: Pioneer in chemistry and thermodynamics.
Literature & Arts:
* George Mackay Brown: Celebrated Orkney poet and novelist.
* Alexander McCall Smith: Best-selling author.
* Andrew Motion: Poet Laureate of the United Kingdom.
Other Notable Alumni:
* Andrew Carnegie: Industrialist and philanthropist.
* Adam Smith: Influential economist and philosopher (although his association with the university is debated).
* David Hume: Philosopher, historian, economist, and essayist.
This is just a small selection. For a more comprehensive list, you should consult the University of St Andrews' official website, which often has alumni profiles and resources, or search online databases like Wikipedia. Searching for "Notable alumni University of St Andrews" will yield more extensive results.