In a medium bowl, toss together the peaches, lemon juice, almond extract and vanilla.
In a small bowl, toss together the cookies and cinnamon.
Spread the peaches on a baking sheet and broil about 5" from the heat for 5 to 7 minutes, or until tender.
Leave the broiler on.
Sprinkle the cookies over the peaches and return to the broiler.
Broil for 1 to 2 minutes, or until the topping is golden brown.