άλλον

In a sentence

• Θα ήθελα έναν άλλον καφέ παρακαλώ.

  I would like another coffee, please.

  Here, 'άλλον' means 'another' (a different one), used to request a second similar item.

• Δεν υπάρχει άλλον σαν αυτόν.

  There isn't another like him.

  In this case, 'άλλον' implies uniqueness by contrasting an object (or person) to others.

• Κοίτα αλλού για έναν άλλον τρόπο να λύσεις το πρόβλημα.

  Look elsewhere for another way to solve the problem.

  'άλλον', used here, signifies an alternative item or solution, suggesting a change of options.