Craft Cutting 1/8" - 3mm Board

I'm thinking of getting a CNC capability about A3 size.
I want to be able to cut 3-4mm laser Ply so I can make Jigsaws. Hope you remember these (pirates, animals, scenes). Not the woodworking tools.
The shapes would be a little more adventurous than traditional Jigsaws which is why I want to look at CNC.
There are loads of craft cutters like Silhouette but they are for card and girls only (oh i am a girl, i forgot).
Dont worry about the graphics on the Jigsaws as they would be added later on once the shapes cut.
Is there a good entry level machine or even a self build. Dont forget I am not too technical so mention of Arduinos or Motors confuses me ;-)
Thankyou
B-)