Commonwealth of Nations (loose successor)
Who & why: the 1949 London Declaration allows India to remain in the Commonwealth as a republic without the British monarch as head of state, transforming the organization from an empire's residue into a voluntary association of formally equal, independent states. The 1997 handover of Hong Kong to China is widely treated as the symbolic close of the empire proper. Today the Commonwealth comprises 56 member states (most, though not all, former British territories) cooperating on trade, development, and shared institutions, alongside a small number of remaining British Overseas Territories (Bermuda, the Falklands, Gibraltar, and others) that never became independent states.
What it represents: the Union Flag continues to fly over the UK itself and its remaining Overseas Territories; the Commonwealth itself uses its own separate emblem rather than the historical empire's flag.