Here's a list of all the arts moves in Legend of Legaia believe me they work I've used them!
IMPORTANT NOTE!!: To learn Super arts and Miracle Arts you must have a long enough spirt bar and the ap (arts power) required it will take a while before your bar is long enough but it's worth the wait. Super arts will not be shown in your arts file when you use them.

Vahn Art Moves :
buttons     Type      Name
RDLULURDL   Miracle   Vahn's craze
99 AP
UDRLLDUUL   Super     Rolling combo
66 AP
UDUUUDU     Super     Tri-Somersault
60 AP
DRUDLLD     Super     Maximum Blow
54 AP
LRLLDRU     Super     Fire Tackle
54 AP
DRUDUDL     Super     Power Slash
54 AP
RDLDL       Hyper     Burning Flare
40 AP
RRDL        Hyper     Fire Blow
32 AP
RRL         Hyper     Tornado Flame
30 AP
DUUU        Regular   Cyclone
24 AP
UUDD        Regular   Hurricane
24 AP
DUUL        Regular   PK combo
24 AP
UDRL        Regular   Spin Combo
24 AP
LRUL        Regular   Pyro Pummel
24 AP
DDDU        Regular   Cross-Kick
24 AP
LLD         Regular   Power Punch
18 AP
UDL         Regular   Slash Kick
18 AP
UDU         Regular   Somersault
18 AP
DRU         Regular   Charging Scorch       
18 AP
LRL         Regular   Hyper Elbow
18 AP
______________________________________