Dragon Ball Z: Hyper Dimension 

T - toward           A - Away            U - Up
D - Down             R - R Button        L - L Button
AD - Away+Down       TU - Toward+Up      DT - Down+Toward
These are just the really easy moves :)


Goku:
B,T - 2 Kicks
R + Back = 3d Attack
T,A,T,A - Energy Beam
A,D,AD,Y - Teleport

Gohan:
T,Y - Upper Cut
R,B - 3d Attack
Quarter Circe T - Energy Dan

Vegeta:
Quarter Circe T - Energy Dan
R,Y - 3d Attack
D,U,Y - Ground Flash Assault

Vegitto:
S,W,E+A -Kamehameha  
S,E+Y - Elbow Shot 
S,W+A -Energy Shots  

Picollo:
R,B - 3d Attack
T,D,B - Flurry Kick
T,D,DT,A - Seeking Fireball 

Buu:
R,B - 3d Attack
Quarter Circle B - Energy Dan
Charge Back,T,Y - Headbutt

Freeza:
R,B - 3d Attack
A,AD,D,A - Laser attack
T,D,DT,A - Energy Disk ( the one he kills himself w/ on tv )

Cell:
R,L - 3d Attack
T,A,T,A - Energy Beam
Half Circle Back, - Energy Attack
 

Cheats

Hint: Triple normal damage with Majin Boo: 
   To inflict more damage with Majin Boo, just throw 
   them into the air and fly directly
   below them. If you are quick and have enough time,  
   do his Super Ki Blast (powers up a
   Ki Blast over his head and throws it). If  
   successful your opponent will get hit with all
   three levels of the Ki Blast, causing an enemy with 
   400 life to go down to around 220 to
   214 of life. This is more than most Desperation  
   attacks.

Hint: Super blast:
Press Down, Down/Back, Back, A. 

Hint: Goku's Desperation Attack:
When Goku's power bar is on 80 or less, or when you are playing on training, go
anywhere and press Back, Down, Forward, Up + Y. Goku will power up, teleport to his
opponent, hit him many times, turn to SSJX3, uppercut him, and do a Spirit Bomb.

Hint: Goku's Descent Combo:
Enter training mode before you go to vs. or story mode. Go somewhere close to your
enemy and press Down, Back, B. Goku should do spinning kicks in the air. After Goku
lands on the ground, quickly press Down, Forward, Y. Goku should then do two
uppercuts. This move should knock your enemy off the ground and into the air. While
your enemy is still in the air and is going to land on the ground, quickly hold Forward
and press B. Goku should then do two kicks knocking your enemy (still on the air) going
up once more. When your enemy is about to land on the ground, finish of with Down,
Forward, X. If timed correctly, Goku should do a Knee Bash in the air hitting your
enemy for the final time. If all moves hit, your enemy's power bar will drop over 100
power.

Hint: Gotenks' Desperation Attack:
When Gotenks'spower bar is on 80 or less, or when you are playing on training, move
Gotenks anywhere and press Forward, Back, Down, Forward + Y. Gotenks will shoot a
beam at his opponent, turn him into a ball, and bash that ball all over the screen.

Hint: Piccolo's arm:
Press Back, Down, Forward and Punch before your opponent hits to see Piccolo's arm
disappear then re-grow.

Hint: Piccolo's Desperation Attack:
When Piccolo's power bar is on 80 or less, or when you are playing on training, move
Piccolo in front of his opponet. When it is safe to do a move, press Forward, Back,
Down, Up + Y. Piccolo will do some attacks, grab his opponent ,throw him in the air,
and finish off with five fire balls.

Hint: Vegeta's Desperation Attack:
When Vegeta's power bar is on 80 or less, or when you are playing on training, move
Vegeta to your enemy until he can move the opponent across the screen. Then, hold Up.
When Vegeta almost lands on the ground, quickly release Up and press Down + Y.
Vegeta will pick up his, jump, throw the opponent on the ground, do over 10 Ki Blast,
and finish off with his special Blast.

Hint: Desperation Attacks:
When your character's power bar is flashing red and yellow or when the power bar is on
80 or less, you could use your character's Desperation Attack. 
Goku (anywhere): Press Back, Down, Forward, Up + Y.
Vegeta (in front of your enemy): Press Up, Down + Y.
Gotenks (anywhere): Press Forward, Back, Down, Forward + Y.
Gohan (anywhere): Press Forward, Down, Back, Forward + B.
Vegetto (in front of your enemy): Press Down, Back, Down, Forward + Y.
Piccolo (in front of your enemy): Press Forward, Back, Down, Up + Y.
Fat Buu (in front of your enemy): Press Down, Forward + Y + B.
Little Buu (close to your enemy): Press Back, Forward, Down, Up + Y.
Frieza (any where): Press Down, Back + Y + B.
Perfect Cell (anywhere): Press Forward, Back, Forward, Back, Forward + Y 

Hint: Skip character introductions:
Go to versus mode and choose your characters. Immediately and rapidly press A when
they fade to black.

Hint: Third bonus battle:
Win every battle including Goku vs Vegeta, Vegeta vs Buu, Fat Buu vs Buu, and the
bonus battles without using one Sensu Bean to fight Vegetto in a third bonus battle. This
also will place him in the group picture at the end.