Here is a listing of the commonly accepted historical Shaolin sword forms. Note that not all of these are currently taught in Shaolin.
Shaolin Damocles sword form
Shaolin Chou Gong sword form
Shaolin Sou Feng sword form
Shaolin 8 immortals sword form
Shaolin fire dragon sword form
Shaolin green dragon sword form
Shaolin cloud and sunshine sword form
Shaolin Long Quan sword form
Shaolin Wu Tang sword form
Shaolin dragon shape sword form
Shaolin Shan Pan 8 immortals sword form
Shaolin 7 stars sword form
Shaolin Damocles sword form
Shaolin dragon form sword form
Shaolin shuttle forest sword form
Shaolin green wind sword form
Shaolin boy sword form
Shaolin single broad sword form 1
Shaolin green dragon broad sword form
Shaolin clubs broad sword form
Shaolin clubs broad sword form 2
Shaolin black tiger broad sword form
Shaolin 5 tigers and a flock of sheep broad sword form
Shaolin swallow form broad sword form
Shaolin 4 kinds broad sword form
Shaolin wrapping head broad sword form
Shaolin double broad sword form
11 Southern Shaolin Temple double broad sword form
Shaolin Chun Qiu big broad sword form
Shaolin Chun Qiu big broad sword form 2
Shaolin Pu broad sword form