"Majestic Mech - Ohka" can be a welcome draw for a Counter Fairy Deck when the opponent has "Jinzo" on the field. Simply use "Ohka's" effect to summon it without Tribute, and attack "Jinzo". While this will result in a draw that destroys both monsters, "Ohka's" effect that would have destroyed it mitigates this loss, especially when you consider the fact that your Counter Traps are usable again.
This card also works well in "Skill Drain" decks. Simply summon this monster without fearing its 'send to graveyard at end of turn' effect due to "Skill Drain's" negation. It also doubles up as an effective beater when "Skill Drain" is not present.
With "Athena" on the field, you can normal summon this card without a tribute and use "Athena's" effect to switch this card in and out from the grave so that it doesn't get destroyed at the end phase. Giving you a free 2400 Attack monster capable of taking out "Monarchs" or "Jinzo".
If a face-up "Brain Golem" is on the field, you can Normal Summon "Majestic Mech - Ohka" without tribute. "Ohka's" negative effect won't activate because of the effect of "Brain Golem".
When a monster like "Hyper Hammerhead" in on your opponent's side of the field, you can Summon this monster without a tribute to deal a substantial amount of damage without going to the Graveyard afterward due to being returned to the hand by "Hyper Hammerhead's" effect.