Taking a slight detour from movies that feature Godzilla, "ORC - KK vs. E" is another one of those "What if?" alternate possibilities.
For those unaware, Godzilla vs The Sea Monster was a vehicle originally intended for Kong under Toho's care; Everything about the movie remained the same with him taking Godzilla's place. It makes more sense, as Kong is better suited to fight gigantic animals/prehistoric throwbacks. Ebirah NEVER made sense in terms of giving Godzilla a challenge, considering his Atomic breath would pretty much boil the lobster fairly quick. Pitting two monsters against each other with just physical feats would up Ebirah's threat factor, with his massive claws, and ocean element.
I used the "King Kong Escapes" Kong for this, as that movie was the end result of Toho's next version of him. i'd imagine he'd resemble that suit more than the hokey gorilla costume from KK vs G.