In a large pot, combine the water with the sugar, honey, lemon juice and lemon zest and bring to a boil, stirring occasionally, until the sugar dissolves.
Add the quinces and return to a boil. Cover partially and cook over low heat until tender, about 2 hours.
Remove the quinces with a slotted spoon. Boil the syrup until it is reduced to 4 cups, about 20 minutes. Return the quinces to the syrup while it cools.
Meanwhile, in a small heavy skillet, toast the almonds over moderate heat, stirring constantly, until golden, 6 to 8 minutes.
Transfer to a plate to cool.
Serve the quinces at room temperature or chilled, with their syrup and the yogurt, sprinkled with almonds. Pass the Kourambiedes separately.
Make Ahead: The poached quinces can be refrigerated in the honey syrup for up to 3 days.
