Most of the hexomino Galvagni and Reid figures were found by Michael Reid of the University of Central Florida and Erich Friedman of Stetson University. Corey Plover found the 12-tile Galvagni figure below.
For pentominoes, see Galvagni & Reid Figures for Pentominoes.
Here are minimal known Galvagni figures for hexominoes.
And here are minimal known Reid figures: