When the pieces come together...

[Bringerofcake]

A request by Proto-Machine King. What I could come up with right off the bat...

 

The Puzzlemaster

WIND

Spellcaster/Effect

8/2800/2000

You can Special Summon this card from your hand by Tributing a "Solving" monster you control. Once per turn, you can add a "Puzzle Piece" card from your Deck to your hand.

 

Solving Obsessor

EARTH

Warrior/Effect

4/300/2300

This card is Summoned in Defense Position. When this card is Summoned, add a "Puzzle Piece" card in your Graveyard to your hand.

 

Solving Prodigy

EARTH

Spellcaster/Effect

3/1200/600

Once per turn, you can discard a non-"Puzzle Piece" card to add a "Missing Piece" from your Deck to your hand.

 

Un-Solving Thief

EARTH

Spellcaster/Effect

4/1600/1200

You can discard a "Puzzle Piece" card from your hand to destroy a card on the field.

 

Puzzle-Solving Monkey

EARTH

Beast/Effect

2/800/800

When this card is Summoned, you can add up to 2 "Puzzle Piece" cards from your Deck to your hand. You can discard a "Puzzle Piece" card from your hand to negate an attack. You can activate this effect during either player's turn.

 

Solving the Puzzle

Normal Spell

Activate if you have a total of 10 "Puzzle Piece" cards removed it from play by their own effects. You win the Duel.

 

Puzzle Piece: Half a Rainbow

Continuous Spell

If this card is discarded, activate it. If you control two "Puzzle Piece: Half a Rainbow" cards, remove them both from play.

 

Puzzle Piece: Sun

Continuous Spell

If this card is discarded, activate it. Monsters cannot be Set. If you control a "Puzzle Piece: Moon", remove that card and this card from play.

 

Puzzle Piece: Moon

Continuous Spell

If this card is discarded, activate it. Monsters you control gain 100 ATK for each facedown card your opponent controls. If you control a "Puzzle Piece: Moon" card, remove that card and this card from play.

 

Puzzle Piece: Field

Continuous Spell

If this card is discarded, activate it. All monsters lose 200 DEF. If you control a "Puzzle Piece: Flowers" card, remove that card and this card from play.

 

Puzzle Piece: Flowers

Continuous Spell

If this card is discarded, activate it. All monsters gain 200 ATK. If you control a "Puzzle Piece: Field" card, remove that card and this card from play.

 

Jig Saw

Equip Spell

Equip only to a "Solving" monster. Increase its ATK by 500 for each "Puzzle Piece" card removed from play.

 

The Picture Box

Field Spell

When a "Puzzle Piece" card is activated, add the card in its card text from you Deck or Graveyard to your hand.

 

The Missing Piece

Continuous Spell

Treat this card's name as any "Puzzle Piece" card while it is face-up on the field.

 

Rage of the Lost

Counter Trap

Activate only if you control a "Puzzle Piece" Spell Card. Negate the activation of a card effect or the Summon of a monster and destroy it.

 

Lone Might

Continuous Trap

Increase the ATK of all "Solving" monsters 700 if you control a "Puzzle Piece" card.

 

Piece Block

Counter Trap

Activate if you control a "Puzzle Piece" card. Negate 1 attack from your opponent's monster and destroy all Attack Position monsters your opponent controls.

 

More as I think of them.