The Bant Mythic deck relied on making use of high-quality mana accelerators such as Noble Hierarch and Lotus Cobra (especially in combination with Knight of the Reliquary) to rapidly deploy large must-answer threat creatures.
The original version of the deck included Rampaging Baloths and Rafiq of the Many as top-end threats. The deck received an additional boost in power with Rise of the Eldrazi as it was able to include Sovereigns of Lost Alara which could be used to fetch an Eldrazi Conscription from the deck and attaching it to an attacking creature, potentially attacking with a 12-power, trampling Birds of Paradise as early as turn 3.
The Bant Mythic deck could be played with either control elements or with an aggressive ramping approach, usually a mixture of both.
Control Mythic often included Jace, The Mind Sculptor to control opponents' draws, and also featured counters such as Cancel.
Aggro Mythic would be played with aggressive low-cost creatures, similar to Extended Zoo. Loam Lion is a good example of a low-cost creature that gets better.
Both types of decks would use cards such as Path to Exile, Oblivion Ring, Day of Judgment, Birds of Paradise, Noble Hierarch, and Everflowing Chalice. The first three were used to control the board, and the last three were used to speed out the play of threats.