I was using filters ("Select Cases...") wrong!
Solution: I first make a filter for the data I want to compare. (Pseudo code the menu Data>Select Cases...) Filter: IF French AND Male.
Now the filter (I label it 'FilterA' in the Variable View) and it creates a new filter column in the Data View with row variable = 1 for French and male, and zero for the rest.
Now the women from Chile are zero as I want them in the filter (this is important) but so are all the Chinese, the French women and so on.
So I define a second filter: IF Chile AND Female OR French AND Male
Now all the data is filtered out as shown by a diagonal line through the row-counter column on the far left in SPSS. Now when a statistical test is run this data will not be included in the test.
Now I can finally perform the test chi-square: I choose Descriptive Statistics>Crosstabs. For column I choose "FilterA" which I created. For row I choose the QuestionX/whatever data I want calculated.
Fin.