You can create a list,
ArrayList<String[]> outerArr = new ArrayList<String[]>();
and add other lists to it like so:
String[] myString1= {"hey","hey","hey","hey"};
outerArr .add(myString1);
String[] myString2= {"you","you","you","you"};
outerArr .add(myString2);
Now you can use the double loop below to show everything inside all lists
for(int i=0;i<outerArr.size();i++){
String[] myString= new String[4];
myString=outerArr.get(i);
for(int j=0;j<myString.length;j++){
System.out.print(myString[j]);
}
System.out.print("\n");
}