Wandering into pre-1900, but if Alexander II manages to avoid being assassinated (not simple, as his route was regular and there was a third bomber waiting in case the first two both failed) then give him another decade or so to get Russia's industrialization further along earlier. If he is notably successful with his reforms, or even just manages to break even but dies peacefully in bed, then Alexander III may be less reactionary and let Russian industry ramp up to be able to compete with Tirpitz's naval expansion - and coincidentally outgun Japan sufficiently to make Tsushima have a different outcome, although it will require a fleet that does not get confused between British fishing boats and Japanese cruisers in the North Sea.
With more concern about Russia, Britain is less amenable to an Entente in the decade after Victoria's passing (where family ties were keeping the lid on Anglo-Prusso-Russian tensions).
With a larger Russian Baltic shipbuilding programme, Wilhelm II doesn't scale down German fleet construction in 1911-12.
With a more capable Russia (and possibly an earlier overhaul of the Russian army, given a successful RJW), Germany doesn't write Austria a blank cheque assuming the Black Hand does something stupid in the mid-teens.
Austria avoids triggering a war with lesser demands on Serbia than OTL which are met.
It's in the latter part of the teens that French revanchism over Elsass-Lothringen triggers the Franco-Russo-German war, which Germany loses handily. Asquith does a little smug backslapping over avoiding any Imperial entanglements until the greater part of the HSF is seized by Russia in violation of both an agreement with Britain and the surrender with Germany. Faced with near-parity in the North Sea, and the prospect that an ebullient Tsar may stand up for another round of the Great Game, Asquith declares war on Russia - his casus belli is that of atrocities against British nationals in Germany after the surrender,
France, suffering manpower losses from the FRG war, and with occupation zones to administer, sits this one out.
Japan, smarting after last time, but with proper assistance from the RN promised, doesn't.
The theaters are largely Korea, Afghanistan, and the Baltic.
The fighting on land is inconclusive.
However, the war at sea is not.
Raids on Arkhangelsk and in the Black Sea by battlecruisers and light forces respectively sting Nicholas into ordering a clash of battle lines. In the Bothnian Gulf, the Baltic Fleet meets the Home Fleet.