What is the difference between Draughts and Checkers?
"Draughts" is a family of closely related games, so you need to be more specific about exactly which game you mean.


English draughts is exactly the same game as (American) checkers, the one played on an 8x8 board - and as someone brought up in the UK, I can confirm that is what people in the UK mean by "draughts".
International draughts (also called Polish draughts or international checkers) is the game played on a 10x10 board.


There is no "global" standard for these; in Italy, Latvia, Norway and the UK, the 8x8 version is the standard with the 10x10 version very rare, while in the Netherlands the 10x10 version is the standard with the 8x8 version being very rare.