Sir George Gabriel Stokes PRS was for 30 years an inimitable Secretary of the Royal Society and its President from 1885 to 1890. Two hundred years after his birth, Stokes is a towering figure in physics and applied mathematics; fluids, asymptotics, optics, acoustics among many other fields. At the Stokes ²⁰⁰ meeting, held at Pembroke College, Cambridge from 15–18th September 2019, an invited audience of about 100 discussed the state of the art in all the modern research fields that have sprung from his work in physics and mathematics, along with the history of how we have got from Stokes’ contributions to where we are now. This theme issue is based on work presented at the Stokes ²⁰⁰ meeting. In bringing together people whose work today is based upon Stokes’ own, we aim to emphasize his influence and legacy at 200 to the community as a whole. This article is part of the theme issue ‘Stokes at 200 (Part 1)’.