If you can get a hand operated fret saw such as:
File:Fretsaw.jpg - Wikipedia, the free encyclopedia
And hold it at a 13* degree angle-either right or left and stack your veneer on top of each other to cut through the whole stack at once-as in your background piece and another -they will fit perfectly inside one another and leave a crisp edge. It takes a little practice but you will get the hang of it pretty fast. It is fun to do and can become quite elaborate in detail.