Following on from my run through the first season, it's time to continue with Star Trek: The Next Generation. Season 2 was broadcast in 1988 and 1989, with the episodes being set in 2365 during the second year of the USS Enterprise-D's mission.
While season 3 is generally thought of as the point at which TNG really came together as a series, season 2 shows some definite - if extremely patchy - signs of improvement over the first set of episodes. The two most impressive episodes are "The Measure of a Man" and "Q Who", which are often seen as some of the very best from TNG's early years. Notably, the latter introduces the Borg for the very first time - the implacable beings set up as a formidable threat both within TNG and even moreso, in Voyager.
Some significant changes this season include the introduction of Guinan (played wonderfully by Whoopi Goldberg), the promotion of Worf and LaForge to security chief and chief engineer respectively, and the temporary replacement of Beverly Crusher as chief medical officer. Dr Pulaski, played by Diana Muldaur, isn't often popular with fans not least due to her (initial) antipathy towards Data. Plus, who can forget the introduction of Riker's beard? Engage!