Fire Pro Wrestling

My strategy for collecting all the moves was to keep beating every match until you stop earning moves from it.
After the two result screens, you will get a message about which move or moves you've unlocked. If you earned moves, then play it again. If you didn't earn moves, you'll just see the message about sending leaderboard data. Move on to the next match. The only bright side here, is that you'll need all that money to pay for the ridiculous amount of similar clothing items for a couple of other achievements.
This worked for me on both the regular game and the DLC. Don't forget to completely exhaust all the matches of each category, including casual, champion, underground and even the title match. Good luck!

EDIT: I've seen some messages and forum posts that make it seem like some moves won't unlock until you're a higher level. I was already level 100 when I really tried to finish getting all the moves, so I wouldn't have noticed if this is the case. If you're sure you've gone through every match and none of them are giving you moves, then try leveling up a little before going for this achievement.

Additional tips:
The game would only give me a maximum of three new moves for beating a match. That's why you have to keep playing the same one until it won't reward you anymore. If you get three moves from a match, you still need to play it again :)

Keep in mind that you learn moves from the wrestler that has that move. Most grapple and strike moves have a regular version and a stronger "EX" version. These appear next to each other on the list. If you have one of them, then you know the name of the other move. So, if you have a karate move and need the "EX" version of it, then try beating Kung Fu Liu / Master Wang to get it. Some moves won't have a counterpart like this.

You don't have to use the move to unlock the achievement. Some moves require one of your stats to be high to use the move. As long as you can read the name of the move, it's unlocked.

I've made a complete list of all the moves in the game, so you can see which ones you're missing. I'm not listing the "EX" version of the moves. I'll just mention in the heading whether the entire category has "EX" moves or not.
Moves with * are DLC moves and are needed for the "Brand New Power" achievement, but not for the "Crackerjack" achievement.

FRONT GRAPPLES (all of these have "EX" versions)
Northern Lights Suplex
Body Slam
Capture Suplex
Back Wheel Trip
DDT
Double Arm DDT
Power Bomb
Spiral Bomb
Double Arm Suplex
Double Arm Face Buster
Pile Driver
Flip Underhook Piledriver
Fisherman Suplex
Fisherman Driver
Tiger Driver
Vertical Suplex
Neck Hanging Slam
Two Handed Chokeslam
Argentine Neckbreaker
Sunset Flip Powerbomb
Crucifix Head Scissor
Huracan Rana Invertida
* Ipponzeoi
* Circle Throw
* Ura Nage
* Ti Khao Knee
* Jumping Upper
* Boxing Combo
* Grand Pas De Deux
* Wreslters Slam
* Dragon Kick
* Sidekick Combo
* Sumo Kumite
* Baji Quan Attack
* Karate Kumite


BACK GRAPPLES (all of these have "EX" versions)
Atomic Drop
Atomic Whip
Back Drop
Face Crusher
Face Buster
German Suplex
Full Nelson Slam
Rolling Solebutt
Dragon Suplex
Tiger Suplex
Standing Shiranui
Tickle Tackle
Over the Shoulder DDT
Enzuigiri
J. O. Suplex

DASHING GRAPPLE (all of these have "EX" versions)
One Hand Bulldog
Bulldog
Neckbreaker
Reverse Neckbreaker
Headscissors
Dash Frankensteiner
Arm Drag
Corbata
DejaVu
Shining Wizard
Flying Crusifix Armbar
Dash DDT
Float Over DDT

AERIAL MOVES (all of these have "EX" versions)
Plancha Suicida
Body Press
450 Splash
Diving Elbow Drop
Diving Leg Drop
Diving Drop Kick
Diving Senton Bomb
450 Senton
Moonsault
Shooting Star Press
Shooting Star DDT
Somersault Leg Drop
Diving Double Axe Handle
Dragonrana
Diving Spear

X BUTTON STRIKE ATTACKS (all of these have "EX" versions)
Straight Punch Combo
Upper Combo
Middle Kick Combo
High Kick Combo
Backhand Chop Combo
Slap Combo
Cat-Scratch Combo
Suimengeri Combo
* Muay Thai Combo
* Diagonal Kick Combo
* Sumo Slap Combo
* Body Blow Combo
* Boxers Combo
* Jeet Kune Do Combo
* Ballet Combo
* Spin Kick Combo

A BUTTON STRIKE ATTACKS (all of these have "EX" versions)
Drop Kick
Spear
Hip Attack
Lariat
Elbow Attack
Rolling Elbow
Head Butt
Spinning Clothesline
Big Boots
Double Chop
Cross Chop
Axe Kick
Over Kick
Enzuigiri
* Karate Kick
* Karate Punch
* Jeet Kune Do Kick
* Fajin

Y BUTTON CHARGE ATTACKS (none of these have "EX" versions)
Charge Straight
Charge Upper
Charge Drop Kick
Charge Middle Kick
Charge High Kick
Charge Slap
Charge Spin Kick
Charge Cat-scratch
Charge Suimengeri
Charge Backhand Chop
Charge Spinning Clothesline
Charge Spear
Charge Hip Attack
Charge Lariat
Charge Big Boots
Charge Elbow Attack
Charge Rolling Elbow
Charge Double Chop
Charge Cross Chop
Charge Axe Kick
Charge Head Butt
Charge Over Kick
Charge Enzuigiri
* Charge Half-Shin
* Charge Muay Thai
* Charge Sumo Slap
* Charge Body Blow
* Charge Dash Upper
* Charge Pirouette
* Charge Karate Kick
* Charge Karate Punch
* Charge Jeet June Do High Kick
* Charge Jeet Kune Do Kick
* Charge Fajin

X BUTTON DOWNED ATTACKS (all of these have "EX" versions)
Stomping
Foot Stamp
Senton
Sunset Flip
Giant Swing
Standing Moonsault
Uproot German Suplex
Sliding Kick
Jumping Leg Drop
Side Suplex
Mount Slap
Spanking
Camel Clutch

FINISHER (none of these have "EX" versions)
Final Moonsault
Hyper Powerbomb
Giant Missile
Hip Combo
Heliport
Special Rodeo
Tackle Hurricane
Backdrop 3 times
Tornado Spin
* Wild Dance

DOUBLE FINISHER (none of these have "EX" versions)
Stack Suplex
Lariat Sandwich
Double Giant Wheel
Totem Pole
Putting the Bullying
Double Impact
Space Rodeo
W From Corner to Corner
Double DDT
* Combination Play

ENTRANCE TAUNTS (none of these have "EX" versions)
Using Props
Champion Belt
Wrestling Bags
Cash
Hero
Barbell
Microphone
Chain
Girl
Nunchucks
Folding Chair
Tombstone
* Whip

ALL OTHER TAUNTS (none of these have "EX" versions)
Say what?
Muscle roar
Let's go
Kung-fu pose
Meow like a kitten
Cowboy
Shake it up
Love to everyone
You're dead
Come
See my muscle
Number one
Madness
Everyone cheer
Discipline
Good luck
Let's take it outside
Don't have time
You're next
I don't understand

To add to oneshot's solution, make sure you win by both pinning Kung Fu Liu AND master Wang. I was missing moves and beat this match along with others over 5 times trying to unlock what I was missing. I finally unlocked it when I pinned master Wang in a match instead of Kung Fu Liu. If you need a tag move, make sure you play all tag, 2v2, and 1v2 matches. Good luck!