Trying to find all occurrences of an object in Arraylist, in java

I don't think you need to be too fancy about it. The following should work fine:

static <T> List<Integer> indexOfAll(T obj, List<T> list) {
    final List<Integer> indexList = new ArrayList<>();
    for (int i = 0; i < list.size(); i++) {
        if (obj.equals(list.get(i))) {
            indexList.add(i);
        }
    }
    return indexList;
}

I suppose you need to get all indices of the ArrayList where the object on that slot is the same as the given object.

The following method might do what you want it to do:

public static <T> int[] indexOfMultiple(List<T> list, T object) {
    List<Integer> indices = new ArrayList<>();
    for (int i = 0; i < list.size(); i++) {
        if (list.get(i).equals(object)) {
            indices.add(i);
        }
    }
    // ArrayList<Integer> to int[] conversion
    int[] result = new int[indices.size()];
    for (int i = 0; i < indices.size(); i++) {
        result[i] = indices.get(i);
    }
    return result;
}

It searches for the object using the equals method, and saves the current array index to the list with indices. You're referring to indexOf in your question, which uses the equals method to test for equality, as said in the Java documentation:

Searches for the first occurence of the given argument, testing for equality using the equals method.

Update

Using Java 8 streams it'll become much easier:

public static <T> int[] indexOfMultiple(List<T> list, T object) {
    return IntStream.range(0, list.size())
        .filter(i -> Objects.equals(object, list.get(i)))
        .toArray();
}

This is similar to this answer, just uses stream API instead.

List<String> words = Arrays.asList("lorem","ipsum","lorem","amet","lorem");
String str = "lorem";
List<Integer> allIndexes =
        IntStream.range(0, words.size()).boxed()
                .filter(i -> words.get(i).equals(str))
                .collect(Collectors.toList());
System.out.println(allIndexes); // [0,2,4]

iterate over all elements, don't break the loop

each element of the ArrayList compare with your object ( arrayList.get(i).equals(yourObject) )

if match than the index ( i ) should be stored into a separate ArrayList ( arraListMatchingIndexes).

Sometimes in this way I do a "remove all", when I need the positions too.

I hope it helps!