I am looking to buy a food processor to do very small batches of fruit and vegetables. Very basic, very cheap....and i am looking for something manual(not electricity). Is there a manual version existing? What is it called? 
I believe the term you're looking for is 'chopper'.  Here and here for example.   This, a draw string powered chopper, is an interesting idea as well - I have difficultly believing it can produce enough force though.  And there's the rotating handle, crank kind.  You've got options.  Or even more basic, 'knife' ;) 