My dragon deck...

Deck = 47 cards
27 monsters
16 spells
4 Traps
Extra Deck = 12


Monsters
3 x Blue-Eyes White Dragon
3 x Red-Eyes Darkness Metal Dragon
3 x Red-eyes Wyvern
3 x Exploder Dragon
3 x Magna Drago
3 x Masked Dragon
2 x Strong Wind Dragon
2 x The Dark - Hex-Sealed Fusion
3 x The White Stone of Legend
2 x Divine Dragon Ragnarok

Spells
3 x Ancient Rules
2 x D.D.R. - Different Dimensional Reincarnation
2 x Dragon's Mirror
1 x Future Fusion
2 x Gold Sarcophagus
1 x Lightning Vortex
1 x Mystical Space Typhoon
1 x Monster Reborn
3 x Stamping Destruction

Traps
1 x Dark Mirror Force
1 x Mirror Force
1 x Solemn Judgment
1 x Torrential Tribute

EXTRA DECK
3 x Red Dragon Archfiend
2 x King Dragun
1 x Trident Dragion
2 x Kachi Kochi Dragon
1 x Leviair the Sea Dragon
1 x Number 39: Utopia
2 x Thunder-End Dragon

Again, sadly not my area of expertise but a few suggestions:

- Dark Mirror Force
- Torrential Tribute
+ 2x Bottomless Trap Hole
- 3x Stamping Destruction
- 1x Lightning Vortex
- 2x D.D.R.

That brings you to 41 and removes some of the more situational cards. Do the same for the rest of the deck, trying to remove situational cards and to bring a cohesive theme to the deck. For instance, there's no point using the Different Dimension cards if your deck's going to focus on the graveyard. At the same time, try and make sure there's always a way to use cards such as Blue-Eyes even if you can't summon them when they're in your hand.

Monsters
-3x Blue-Eyes White Dragon
-3 x Red-eyes Wyvern
-3 x Exploder Dragon
-3 x Magna Drago
-3 x Masked Dragon
-3 x Strong Wind Dragon
-3 x The Dark - Hex-Sealed Fusion
-3 x The White Stone of Legend
-2 x Divine Dragon Ragnarok

Spells
-3 x Ancient Rules
-2 x D.D.R. - Different Dimensional Reincarnation
-2 x Dragon's Mirror

-2 x Gold Sarcophagus
-1 x Lightning Vortex
-3 x Stamping Destruction (Mystical Space Typhoon is so much better..)

Traps
-1 x Dark Mirror Force

What to add:

Monsters:
+3 Lyla, Lightsworn Sorceress
+3 Ryko, Lightsworn Hunter
+2 or 3 Effect Veiler
+1 Sangan
+1 Gorz
+3 LightPulsar Dragon
+2 Darkflare Dragon
+2 Eclipse Wyvern
+1 Dark Armed Dragon
+2 Card Trooper
+2 Chaos Sorcerer
+1 Dark Horus (This is optional, you probably want to keep it dragon oriented, I wouldn't run it personally but it's up to you.)
+1 Black Luster Soldier (If you can afford him)

Spells:
+2 Mystical Space Typhoon
+1 Charge of the Light Brigade
+3 Solar Recharge
+2 FOrbidden Lance (This is optional aswell, I like it a lot)
+1 Heavy Storm
+1 Dark Hole

Traps:
+1 Torrential Tribute
+2 Bottomless
+2 Compuls

It'd be best to play around with these changes and see what you like. I didn't do a count of the cards I changed around so it probably won't be a full card deck, so just add what you feel is best. You were playing an extremely fast deck extremely slow.