A spinoff of the American national personification thread.
These things tend to be a bit unrealistic because there's no convergent reason to put a huge statue in the same place if there's a POD before the 1870s, but they certainly have their place in pulpy AH. (A more realistic version is to suggest the OTL Statue of Liberty, once built, is either modified or demolished and replaced with something else later on).
A typical example is Turtledove's "Statue of Remembrance" from TL-191, where the militarised and irredentist USA instead has a statue bearing a sword of vengeance aloft. Of course Fridge Logic sets in when you realise the OTL statue was built by the French, and in TTL France and the USA were bitter enemies by the 1870s...
Another I recall from a guilty-pleasures Britwank is one where New York was reconquered after a Trent Affair intervention, renamed Trafalgar, and there's a statue of Britannia out there instead.
So you get the idea. Give a POD or brief sketch of a scenario and then describe the alternate statue. If you want you can expand this to other famous landmarks. Bonus points to anyone with enough photoshop-fu to actually depict it as well.