Mono blue decks offer a great variety of different play styles: from combat focused creature decks to control heavy "play island, end turn" like decks with several interaction possibilities.
Mono Blue
Blue is the color of logic and cognition. Blue has the strongest card draw effects, able to manipulate artifacts, copy other permanents, sling spells and is the master of countering spells.
Mono Blue 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.
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.
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.
Mill
Milling in mono blue can be done in two clear ways: self-mill or regular mill. In self-mill, blue usually tries to find some kind of an infinite loop piece and retrieve it from the graveyard or run the Thassa's Oracle or Laboratory Maniac combo. In the regular mill the goal is to mill opponents whole libraries and win by having an opponent draw from an empty library.
