There's nothing going on here tonight, so I figured I might as well do this now and get it out of the way.

Here's the Yang style long form as taken from _Taijiquan, Classical Yang Style_ by Dr. Yang, Jwing-Ming. The book also generally describes what the Chinese words mean in the brief descriptions of the postures when they're introduced. It can be interesting stuff if you want to know a bit more about the translation, but I'm not copying all that, too.

I'm sure I've mentioned counting difference before, so the amount may be different from what you're used to, but the names and order ought to be the same.
Yang Style Taijiquan Sequence (Traditional Long Form)
1. Beginning (Taiji Qi Shi)
2. Grasp the Sparrow's Tail: Right (You Lan Que Wei)
3. Grasp the Sparrow's Tail: Left (Zuo Lan Que Wei)
4. Wardoff (Peng)
5. Rollback (Lu)
6. Press (Ji)
7. Push Forward (An)
8. Single Whip (Dan Bian)
9. Lift Hands to the Up Posture (Ti Shou Shang Shi)
10. The Crane Spreads Its Wings (Bai He Liang Chi)
11. Brush Knee and Step Forward: Left (Zuo Lou Xi Yao Bu)
12. Play the Guitar (Shou Hui Pi Pa)
13. Twist Body, Brush Knee and Step Forward: Left (Zuo Lou Xi Yao Bu)
14. Twist Body, Brush Knee and Step Forward: Right (You Lou Xi Yao Bu)
15. Twist Body, Brush Knee and Step Forward: Left (Zuo Lou Xi Yao Bu)
16. Play the Guitar (Shou Hui Pi Pa)
17. Twist Body, Brush Knee and Step Forward: Left (Zuo Lou Xi Yao Bu)
18. Twist Body and Circle the Fist (Pie Shen Chui)
19. Step Forward, Deflect Downward, Parry and Punch (Jin Bu Ban Lan Chui)
20. Seal Tightly (Ru Feng Si Bi)
21. Embrace the Tiger and Return to the Mountain (Bao Hu Gui Shan)
22. Close Taiji (He Taiji)
* End of the First Part
Transition Form (Guo Du Shi)
23. Wardoff, Rollback, Press, and Push Forward (Peng, Lu, Ji, An)
24. Single Whip (Dan Bian)
25. Punch Under the Elbow (Zhou Di Kan Chui)
26. Step Back and Repulse the Monkey: Left (Zuo Dao Nian Hou)
27. Step Back and Repulse the Monkey: Right (You Dao Nian Hou)
28. Step Back and Repulse the Monkey: Left (Zuo Dao Nian Hou)
29. Diagonal Flying (Xie Fei Shi)
30. Lift Hands to the Up Posture (Ti Shou Shang Shi)
31. The Crane Spreads Its Wings (Bai He Liang Chi)
32. Brush Knee and Step Forward: Left (Zuo Lou Xi Yao Bu)
33. Pick Up the Needle from the Sea Bottom (Hai Di Lao Zhen)
34. Fan Back (Shan Tong Bei)
35. Turn, Twist Body, and Circle the Fist (Zhuan Shen Pie Shen Chui)
36. Step Forward, Deflect Downward, Parry and Punch (Jin Bu Ban Lan Chui)
37. Step Forward, Wardoff, Rollback, Press, and Push Forward (Shang Pu [I think it's actually Shang Bu], Peng, Lu, Ji, An)
38. Single Whip (Dan Bian)
39. Wave Hands in the Clouds: Right (You Yun Shou)
40. Wave Hands in the Clouds: Left (Zuo Yun Shou)
41. Wave Hands in the Clouds: Right (You Yun Shou)
42. Single Whip (Dan Bian)
43. Stand High to Search Out the Horse (Gao Tan Ma)
44. Separate Right Foot (You Fen Jiao)
45. Separate Left Foot (Zuo Fen Jiao)
46. Turn and Kick with the Heel (90 degrees) (Zhuan Shen Deng Jiao)
47. Brush Knee and Step Forward: Left (Zuo Lou Xi Yao Bu)
48. Brush Knee and Step Forward: Right (You Lou Xi Yao Bu)
49. Step Forward and Strike Down with the Fist (Jin Bu Zai Chui)
50. Turn, Twist Body, and Circle the Fist (Zhuan Shen Pie Shen Chui)
51. Step Forward, Deflect Downward, Parry and Punch (Jin Bu Ban Lan Chui)
52. Kick Right (You Ti Jiao)
53. Strike the Tiger: Right (You Da Hu)
54. Strike the Tiger: Left (Zuo Da Hu)
55. Kick Right (You Ti Jiao)
56. Attack the Ears with the Fists (Shuang Feng Guan Er)
57. Kick Left (Zuo Ti Jiao)
58. Turn and Kick with the Heel (270 degrees) (Zhuan Shen Deng Jiao)
59. Twist Body and Circle the Fist (Pie Shen Chui)
60. Step Forward, Deflect Downward, Parry and Punch (Jin Bu Ban Lan Chui)
61. Seal Tightly (Ru Feng Si Bi)
62. Embrace the Tiger and Return to the Mountain (Bao Hu Gui Shan)
63. Close Taiji (He Taiji)
* End of the Second Part
Transition Form (Guo Du Shi)
64. Wardoff, Rollback, Press, and Push Forward (Peng, Lu, Ji, An)
65. Single Whip (Dan Bian)
66. The Wild Horse Parts Its Mane: Right (You Ye Ma Fen Zong)
67. The Wild Horse Parts Its Mane: Left (Zuo Ye Ma Fen Zong)
68. The Wild Horse Parts Its Mane: Right (You Ye Ma Fen Zong)
69. Grasp the Sparrow's Tail: Left (Zuo Lan Que Wei)
70. Wardoff, Rollback, Press, and Push Forward (Peng, Lu, Ji, An)
71. Single Whip (Dan Bian)
72. Fair Lady Weaves with Shuttle: Left (Zuo Yu Nu Chuan Suo)
73. Fair Lady Weaves with Shuttle: Right (You Yu Nu Chuan Suo)
74. Fair Lady Weaves with Shuttle: Left (Zuo Yu Nu Chuan Suo)
75. Fair Lady Weaves with Shuttle: Right (You Yu Nu Chuan Suo)
76. Grasp the Sparrow's Tail: Left (Zuo Lan Que Wei)
77. Wardoff, Rollback, Press, and Push Forward (Peng, Lu, Ji, An)
78. Single Whip (Dan Bian)
79. Wave Hands in the Clouds: Right (You Yun Shou)
80. Single Whip (Dan Bian)
81. Snake Creeps Down (She Shen Xia Shi)
82. Golden Rooster Stands on One Leg: Right (You Jin Ji Du Li)
83. Golden Rooster Stands on One Leg: Left (Zuo Jin Ji Du Li)
84. Step Back and Repulse the Monkey: Left (Zuo Dao Nian Hou)
85. Diagonal Flying (Xie Fei Shi)
86. Lift Hands to the Up Posture (Ti Shou Shang Shi)
87. White Crane Spreads Its Wings (Bai He Liang Chi)
88. Brush Knee and Step Forward: Left (Zuo Lou Xi Yao Bu)
89. Pick Up the Needle from the Sea Bottom (Hai Di Lao Zhen)
90. Fan Back (Shan Tong Bei)
91. White Snake Turns Its Body and Spits Poison (Zhuan Shen Bai She Tu Xin)
92. Step Forward, Deflect Downward, Parry and Punch (Jin Bu Ban Lan Chui)
93. Step Forward, Wardoff, Rollback, Press, and Push Forward (Shang Bu, Peng, Lu, Ji, An)
94. Single Whip (Dan Bian)
95. Wave Hands in the Clouds: Right (You Yun Shou)
96. Single Whip (Dan Bian)
97. Stand High to Search Out the Horse (Gao Tan Ma)
98. Cross Hands (Shi Zi Shou)
99. Turn and Kick (Zhuan Shen Shi Zi Tui)
100. Brush Knee and Punch Down (Lou Xi Zhi Dang Chui)
101. Step Forward, Wardoff, Rollback, Press, and Push Forward (Shang Bu, Peng, Lu, Ji, An)
102. Single Whip (Dan Bian)
103. Snake Creeps Down (She Shen Xia Shi)
104. Step Forward to the Seven Stars (Shang Bu Qi Xing)
105. Step Back and Ride the Tiger (Tui Bu Kua Hu)
106. Turn the Body and Sweep the Lotus with the Leg (Zhuan Shen Bai Lian)
107. Draw the Bow and Shoot the Tiger (Wan Gong She Hu)
108. Twist the Body and Circle the Fist (Pie Shen Chui)
109. Step Forward, Deflect Downward, Parry and Punch (Jin Bu Ban Lan Chui)
110. Seal Tightly (Ru Feng Si Bi)
111. Embrace the Tiger and Return to the Mountain (Bao Hu Gui Shan)
112. Close Taiji (He Taiji)
113. Return to Original Stance (Taiji Huan Yuan)
I don't think I have Chinese names for other forms, but I can check if there's another specific form you want. Hopefully this thread is helpful.