As far as I know, one could not handle exception thrown in the lambda if the abstract method implemented by the lambda doesn't have throws in its signature. 
I encountered following code, it works. Why openStream() doesn't demand handling IOException? I can see try-catch in the tryWithResources but I don't understand the mechanism behind it.
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.net.URL;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.Map;
import java.util.concurrent.Callable;
import java.util.concurrent.ConcurrentSkipListMap;
import java.util.function.Function;
import java.util.function.Supplier;
public class Main {
    public static <AUTOCLOSEABLE extends AutoCloseable, OUTPUT> Supplier<OUTPUT> tryWithResources(
            Callable<AUTOCLOSEABLE> callable, Function<AUTOCLOSEABLE, Supplier<OUTPUT>> function,
            Supplier<OUTPUT> defaultSupplier) {
        return () -> {
            try (AUTOCLOSEABLE autoCloseable = callable.call()) {
                return function.apply(autoCloseable).get();
            } catch (Throwable throwable) {
                return defaultSupplier.get();
            }
        };
    }
    public static <INPUT, OUTPUT> Function<INPUT, OUTPUT> function(Supplier<OUTPUT> supplier) {
        return i -> supplier.get();
    }
    public static void main(String... args) {
        Map<String, Collection<String>> anagrams = new ConcurrentSkipListMap<>();
        int count = tryWithResources(
                () -> new BufferedReader(new InputStreamReader(
                        new URL("http://www.puzzlers.org/pub/wordlists/unixdict.txt").openStream())),
                reader -> () -> reader.lines().parallel().mapToInt(word -> {
                    char[] chars = word.toCharArray();
                    Arrays.parallelSort(chars);
                    String key = Arrays.toString(chars);
                    Collection<String> collection = anagrams.computeIfAbsent(key, function(ArrayList::new));
                    collection.add(word);
                    return collection.size();
                }).max().orElse(0), () -> 0).get();
        anagrams.values().stream().filter(ana -> ana.size() >= count).forEach((list) -> {
            for (String s : list)
                System.out.print(s + " ");
            System.out.println();
        });
    }
}
 
     
     
    