In a large saucepan over medium low heat, melt together the butter, brown sugar, sugar, honey, molasses and vanilla until the sugar is dissolved. Set aside to cool.
In a mixing bowl, mix together the flour, baking soda, ginger, cinnamon, allspice, nutmeg, and pepper.
When the butter mixture has cooled, mix in the eggs until combined.
Slowly add the flour to the mixture. Stir until well blended. Drop teaspoonfuls of the dough onto cookie sheets about 2 inches apart. Bake 9 to 11 minutes until golden.
While the cookies are baking, stir together the powdered sugar, lemon juice, and water to make the glaze.
Brush the hot cookies with the glaze, making sure to cover as much of the tops and sides as possible.
Let the cookies cool on the baking sheet until the glaze is dry to the touch, then move to a cooling rack.
The cookies improve (the spices mellow and the texture softens) after a day or two in a sealed airtight container.
Notes
** Please note when baking these cookie in the UK you might need to add more flour (up to a cup more) for the dough to become firm. If this is the case, add a little more spice so the taste isn't dulled down.