How should we manage jdk8 stream for null values

Although the answers are 100% correct, a small suggestion to improve null case handling of the list itself with Optional:

 List<String> listOfStuffFiltered = Optional.ofNullable(listOfStuff)
                .orElseGet(Collections::emptyList)
                .stream()
                .filter(Objects::nonNull)
                .collect(Collectors.toList());

The part Optional.ofNullable(listOfStuff).orElseGet(Collections::emptyList) will allow you to handle nicely the case when listOfStuff is null and return an emptyList instead of failing with NullPointerException.