When The Melancholy of Haruhi Suzumiya originally aired in Japan, the episodes were shown in a non-chronological order, much like chapters of the light novels are also not always in chronological order (however the DVDs have the episodes in the correct order). In the list below, the episodes are listed in chronological order, with the original TV broadcast number in parenthesis.
1.(2) The Melancholy of Haruhi Suzumiya I
2.(3) The Melancholy of Haruhi Suzumiya II
3.(5) The Melancholy of Haruhi Suzumiya III
4.(10) The Melancholy of Haruhi Suzumiya IV
5.(13)The Melancholy of Haruhi Suzumiya V
6.(14) The Melancholy of Haruhi Suzumiya VI
7.(4) The Boredom of Haruhi Suzumiya
8.(7) Mysterique Sign
9.(6) Remote Island Syndrome (Part 1)
10.(8) Remote Island Syndrome (Part 2)
11.(1) Mikuru Asahina's Adventure Episode 00
12.(12) Live Alive
13.(11) The Day of Sagittarius
14.(9) Someday in the Rain