When your object fields can be null, implementing Object.equals can be a pain, because you have to check separately for null. Using Objects.equal lets you perform equals checks in a null-sensitive way, without risking a NullPointerException.

Objects.equal("a", "a"); // returns true
Objects.equal(null, "a"); // returns false
Objects.equal("a", null); // returns false
Objects.equal(null, null); // returns true

Nowadays, prefer the JDK's equivalent Objects.equals method.

Hashing all the fields of an Object should be simpler. Guava's Objects.hashCode(Object...) creates a sensible, order-sensitive hash for the specified sequence of fields. Use Objects.hashCode(field1, field2, ..., fieldn) instead of building the hash by hand.

Nowadays, prefer the JDK's equivalent Objects.hash(Object...).

A good toString method can be invaluable in debugging, but is a pain to write. Use MoreObjects.toStringHelper() to easily create a useful toString. Some simple examples include:

   // Returns "ClassName{x=1}"
   MoreObjects.toStringHelper(this)
       .add("x", 1)
       .toString();

   // Returns "MyObject{x=1}"
   MoreObjects.toStringHelper("MyObject")
       .add("x", 1)
       .toString();

Implementing a Comparator, or implementing the Comparable interface directly, can be a pain. Consider:

class Person implements Comparable<Person> {
  private String lastName;
  private String firstName;
  private int zipCode;

  public int compareTo(Person other) {
    int cmp = lastName.compareTo(other.lastName);
    if (cmp != 0) {
      return cmp;
    }
    cmp = firstName.compareTo(other.firstName);
    if (cmp != 0) {
      return cmp;
    }
    return Integer.compare(zipCode, other.zipCode);
  }
}

This code is easily messed up, tricky to scan for bugs, and unpleasantly verbose. We should be able to do better.

For this purpose, Guava provides ComparisonChain.

ComparisonChain performs a "lazy" comparison: it only performs comparisons until it finds a nonzero result, after which it ignores further input.

   public int compareTo(Foo that) {
     return ComparisonChain.start()
         .compare(this.aString, that.aString)
         .compare(this.anInt, that.anInt)
         .compare(this.anEnum, that.anEnum, Ordering.natural().nullsLast())
         .result();
   }

This fluent idiom is much more readable, less prone to accidental typos, and smart enough not to do more work than it must. Additional comparison utilities can be found in Guava's "fluent Comparator" class Ordering, explained here.