They are just the third team in NL history to make the playoffs four consecutive times. They joined the Braves, who made 14 consecutive appearances (1991-93, 1995-2005), and the New York Giants, who made four consecutive appearances (1921-24). There were no playoffs in '94, which is why Atlanta's streak is 14.
The Phillies will try to become the first NL team since the 1942-44 Cardinals to play in three consecutive World Series. Those Cards won it all in 1942 and '44. They also won the Fall Classic in '46 after finishing in second place in '45.