A totally enclosed 6 board box with mitered edges will blow
itself apart in time - even if all the boards are the same wood.
Mix woods and it gets worse.
BUT - if the box is made out of ply - with lock mitered corners,
and then veneered - the veneer may split but the box will stay
together and closed. Getting the right mitered profile on the
right edges is fun but it is do-able - see
They make two versions of the lock miter bit, one for 1/2"
and another for 3/4".