Jutland was very important strategic victory for brits - it ensured that blockade of German ports was to hold on and block all supplies. Which would turn up to be single biggest reason for Germany's defeat in WWI. If Germany had won Jutland things might've ended very differently.
I'd say most glorious and greatest days of british navy (compared to its contemporaries) were from 1700 to end of 1800's... or something like that. They were still the greatest naval power in the world in WWI though. But isn't it clear why they were jealous over Germans building up their navy? I mean, it was all about power. And no superpower voluntarily lets other power to rise to threaten it.
Navy armament race had been going for years already, it wasn't even near the biggest reason Britannia ended up in world war. It was one of the factors though
edit:
It took half the British Navy to defeat the Bismarck in WW2. I mean c'mon, a single ship?
Mongolians were hordes of saber-rattling warriors, that's hardly an Empire. The Romans at least made important influences in life and culture. The British too, they gave us Americans!
You by far underrestimate Mongolians. They were a lot more than "saber-rattling warriors". But yeah, it's not like they created an empire in sense of Persia, Macedonia, Rome etc.
You have to remember that by WWII British strenght had been already reduced and Bismarck was monster for a ship - just like Musashi (and that other ship) of Japan. Which yanks killed with Helldivers, lol
edit2: Helldivers, not bombers
Yanks had best tactics in the naval warfare in WWII I'd say. Germans did have teh submarines but... *shrug*