Ok here's a good one, at the risk of incurring the wrath of a certain omnivorous California mammal. The never completed* IJN Amagi class battle cruiser (any one of the 4 ships can be chosen for this one) vs the American white elephant (and the class designed to counter the Amagi's), the USS Alaska (or Guam if you want). As always with these theoretical battle simulations, all ships and crew are in fighting condition and for the sake of simplicity, the Amagi class has been refitted with the Type 21,22 and 13 radars (the same radars the Yamato class had access to). Nothing compared to the Alaska's but it ought to make things as fair as possible, being that the Alaska's had access to contemporary USN capital ship radar suites.
Round 1: Both ships encounter each other in the south pacific, weather and sea conditions are favorable. Both ships are at battle stations after either radar or visual contact.
Round 2: Amagi class has the support of the Tone class cruiser Takao. Alaska class has the support of the Portland class heavy cruiser(and previous VS. contender), USS Indianapolis
*Amagi class were laid down but due to the Washington Naval Treaty were never completed. Amagi and Akagi were converted to Aircraft Carriers, with Amagi being damaged badly in an earthquake, she was scrapped.
Round 1: Both ships encounter each other in the south pacific, weather and sea conditions are favorable. Both ships are at battle stations after either radar or visual contact.
Round 2: Amagi class has the support of the Tone class cruiser Takao. Alaska class has the support of the Portland class heavy cruiser(and previous VS. contender), USS Indianapolis
*Amagi class were laid down but due to the Washington Naval Treaty were never completed. Amagi and Akagi were converted to Aircraft Carriers, with Amagi being damaged badly in an earthquake, she was scrapped.