Here's as many as I could find of Luohan style videos, if you find more to add, let me know and I will update.
By the way, Shaolin Quan was originally called Shaolin Chui, as was Luohan Quan originally called Luohan Chui, before the Qing Dynasty era.
Luohan Quan Yi Lu taught by Shi Degen - also called Xiao Luohan Quan in Dengfeng / Tagou school (as taught by Liu Zhen Hai):
http://www.youtube.com/watch?v=cr3q4vhzr58 First 60 of the 85 postures
http://www.youtube.com/watch?v=JO3k55h_HLA (same form, black background)
http://www.youtube.com/watch?v=4ppmJVwuOM0 (also shortened)
http://www.youtube.com/watch?v=7sKH-zLYjEg (also shortened)
http://www.youtube.com/watch?v=18xrEtJjUTI (also shortened)
Da Luohan Quan (as taught by Liu Zhen Hai), first 30 postures of 85 in correct order:
http://www.youtube.com/watch?v=DRPOiHl18mA
Lao Jia (old frame) Luohan Quan (also called 3 Section Luohan) - Shi Deyang's version (this set often called Xiao Luohan today because it is like a summary of Da Luohan):
http://www.youtube.com/watch?v=WDRkqO4Y7U4
Shaolin Er Lu Luohan Quan (also known as Refined Luohan Quan) - a modern times set:
http://www.youtube.com/watch?v=JZzRcb5SXTY (shortened)
http://www.youtube.com/watch?v=Q0IDQpkzPVc (just first third of set)
http://www.youtube.com/watch?v=kLnUJhm8O7Q (too fast and much abbreviated)
Shaolin Luohan Quan 27 Postures:
(no videos yet)
Shaolin San Lu Luohan Quan:
(no videos yet)
Related sets:
Shaolin Luohan Duan Da:
http://www.youtube.com/watch?v=v0vheDniwQE
http://www.youtube.com/watch?v=gQDYU98FTTs
Shaolin Luohan Shi Ba Zhang - 18 PALMS not hands (very rare to see):
http://www.youtube.com/watch?v=Rum8qAFB8Wc
Luohan Shi Ba Shou (originally from Shandong Hua Quan style before entering Shaolin):
http://www.youtube.com/watch?v=raSvF3CiLx4
Shaolin Luohan Shi Ba Shou Yi Lu (set 1 of 8 sets):
http://www.youtube.com/watch?v=ZXSi_zzhfzA (Shi deyang's totally mixed up short version, missing moves and moves out of order)
Shaolin Damo (also known as Luohan) Shi Ba Shou:
http://www.youtube.com/watch?v=o76m4-enGS4
http://www.youtube.com/watch?v=-Q-Z4tiFkus
http://www.youtube.com/watch?v=qu4YPOG8uvg
Shaolin Luohan Pu Shen Chui:
http://www.youtube.com/watch?v=VYQKuio8mVs
Shaolin Xinyi Luohan Chui:
http://www.youtube.com/watch?v=BbS0aXhvVGA
Unknown Luohan Quan sets:
http://www.youtube.com/watch?v=_yP91ZyILso
http://www.youtube.com/watch?v=NMNCLIkcohA
http://www.youtube.com/watch?v=HCWfj9zVU4Y
http://www.youtube.com/watch?v=a3mbYdVPDKc
http://www.youtube.com/watch?v=9d8OMqscdrw
http://www.youtube.com/watch?v=ZljLs_gYIOs
Da Luohan Quan from Chan family Nei Jia Quan style (derived from original Shaolin Luohan Quan in Henan from the 1600s):
http://www.youtube.com/watch?v=jRjvN5U8tRc
Southern Shaolin - Choy Li Fut Luohan Pu Hu Quan (Fuk Fu Kune), the closest you can get to seeing what Luohan Quan might have originally looked like since Choy Gar is directly from Northern Shaolin, it is only two-three generations away from founder Monk Jue Yuan. Jue Yuan taught Yi Quan, who taught the founder of Choy (Chu) Gar.