A juice pressing machine and methods for pressing juice from a foodstuff includes embodiments having a removable pressing chamber and one or more filters which may be assembled and loaded with macerated foodstuff to form thin layers separated by a pressing plate. Once a juicing operation has been completed, the pressing chamber can be removed from the machine for emptying the pressed filters and solids contents therein. The empty pressing chamber may then be rinsed if needed and reattached to the machine for a subsequent pressing operation with newly filled filter(s). The platen may also be easily removed from the machine for cleaning as desired.