The main strategy of a Toon Deck is direct attacks on your opponent. For some Toon monsters, "Toon World" is required for them to be able to attack the opponent directly while they control monsters. "Toon Table of Contents" can aid you in adding "Toon" cards to your hand.
As several Toon monsters can be Special Summoned from the hand by their own effect, while you control "Toon World", it's possible to Summon multiple Toon monsters in one turn. Although Level 5 or higher Toon monsters require Tributes for their Special Summon, as the Tributes are not Tributes for a Tribute Summon, you can Tribute Token Monsters generated from cards like "Scapegoat" and "Fires of Doomsday".
Since a lot of the Toon monsters can be Special Summoned when "Toon World" is on your field you can create a big swarm of monsters for a fast Xyz Summon or Summon a Tuner monster for a fast Synchro Summon.
"Toon Gemini Elf" and "Toon Masked Sorcerer" can maintain hand control, because they can attack directly while you control "Toon World", at which time their effects will trigger ("Toon Gemini Elf" forces your opponent to discard a random card from their hand, while "Toon Masked Sorcerer" allows you to draw a card).
If "Toon World" is about to be destroyed, you can send it to the Graveyard with "Emergency Provisions" instead, so that your Toon monsters do not destroy themselves. However, since "Toon World" is no longer on the field, many "Toon" cards cannot be activated or cannot apply their effects. "Starlight Road" is very useful against mass destruction cards that pose a threat against "Toon World", such as "Mobius the Frost Monarch" or "Twin Twisters".
"Forbidden Chalice" can be used to negate the effect of a Toon monster so that it won't destroy itself when "Toon World" is destroyed. It can also negate the effect that prevents the Toon monster from attacking during the turn they are Summoned (although this will also prevent the Toon monster from attacking directly). "Book of Moon" can be used to flip a Toon monster face-down and thus saving it from destruction when "Toon World" is destroyed; however, it will need to wait an additional turn to commence an attack.
The ability to always attack directly unless facing another Toon deck allows the player to inflict large amounts of damage and avoid hard to deal with opposing monsters.
Use "Soul Exchange" for Tributes for Toon monsters, since they cannot attack the turn they are Summoned.
Special Summon a "Toon Mermaid" and Tribute her for a stronger Toon monster.
Swarming for fast Tuning, since a lot of the Toon monsters can be Special Summoned when "Toon World" is on the field you can create a big swarm of monsters and Summon a Tuner monster for a fast Synchro Summon
Toon decks can access strong Xyz Monsters with powerful negation effects including:
"Vengeful Bog Spirit" can be very useful in a Toon Deck, because, while it will not impair your Toons much (since they cannot attack when they are Summoned anyway), it will impair your opponent greatly.
"Book of Moon" can be used to flip a Toon monster face-down and thus saving it from destruction when "Toon World" is destroyed; however, it will need to wait an additional turn to commence an attack.
It is not easy to keep the Toons long enough on the for their Direct attack effect to take effect. Although "Toon Kingdom" does help reduce this weakness.
"Gravity Bind" is always a good card to stall as it gives your monsters time to 'warm-up' so to speak. But as the Toons are all Level 4 or above "Gravity Bind" may not work as it prevents them from attacking.
"Nightmare's Steelcage" may be more useful as it gives you the time to activate your Toon's effect and "Nightmare's Steelcage" leaves the field two Turn's later enabling you to play their Direct attack effect.