here are the main flag ships on earth

Space battleship yamato

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Space battleship andromeda

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Space battleship Kirishima ( destroyed) 

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pillar of autumn

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forward unto dawn

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spirit of fire

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Infinity and UNSC Eternity

Autumn-class heavy cruiser---galactica  and pegasus  ( both destroyed)

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Paris Class Heavy Frigate--- sliver moon  (  destroyed)

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Daedalus-class Battleship --  Daedalus and  Apollo

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Eclipse-class--Science Corvette---Eclipse

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more be add later on