Izzet
Reds explosiveness and aggression, combined with blues patience and calculation creates the color of Izzet. Izzet decks loves spellslinging and massive card advantage in many forms: card draw, impulse draw and cast from graveyard effects.
Izzet themes
Artifacts
Artifact decks aim to interact and gain advantage with own artifacts by copying them, turning them into creatures and simply create new artifacts as tokens. Artifact decks are very popular and they have multiple infinite loops.
Spell slinger
Spell slinging is an archetype for decks, focusing heavily on instants and sorceries. Wincons can be anything from tokens, to removals and counter spells to storm and burn effects.
Cantrips
Cantrips are spells with a draw effect on them. Cantrip decks are often instant and sorcery spell slinger decks and aim to cast as many cantrips as possible and creating value from the cast triggers.
Draw matters
Draw matters decks gets value out of card draw triggers. Value can be anthem effects, tapping creatures or straight up life loss for the opponents. Draw matter decks run a high amount of interactions and tend to draw during opponents end steps.
Combo
Combo decks are control heavy decks, running a heavy amount of card draw or tutors. If the decks get to assemble the combo pieces the game often ends in an infinite combo.
Discard
The ways to discard are plenty: cycling, rummaging, end steps discard phase, to name a few. Discard decks are built around triggers from discarding, like madness and synergizes well with reanimating.
Wizard tribal
Wizard tribals is significantly less a combat focused than other tribals. Wizard tribals are often cantrip heavy decks but have the bodies to fend off the aggressive goblins. Laboratory Maniac is maybe the best known non legendary wizard.
Clones
Mono blue has multiple ways to clone own or opponents permanents. The gameplay changes effectively, when you get to play your opponents biggest threats, too and clone decks can lead to some very weird and interesting situations.