Earlier POD to butterfly away Moroccan crises and other events where Wilhelmine Germany really managed to create a lasting image of a nation bent on hostile and clumsy foreign policy, thus really pushing Britain to Entente camp.
Following better diplomacy leading to detente with Britain and to a stop of naval arms race with her - followed by a larger army and a focus on Eastern front to better cooperate with A-H against the rising threat of Russian military modernization. Combine the result of neutral Belgium with worse and "better-timed" Home Rule Crisis that creates major civil disturbances in Ireland just when matters are getting out of hand. And there you have it, a scenario where Britain, as alarmed as she is, is reluctant to immediately join in to the fray.
Even in this scenario I see Britain, busy as she is with Ireland, creating a strong army, warning Germany to keep her fleet off from the Channel and later on starting to pressure both sides to status quo peace in Western Europe. Weakening her traditional rival, Russia, is one thing, but letting France fall without getting involved is extremely unlikely without a POD back in the days of Napoleon III.