Rapa Nui, aka Easter Island, is a distant South Pacific island hosting few people but hundreds of huge, stone statues known as moai. Best: September – April but OK most of the year. Avoid: May (wet) and June-August.
The extraordinary marble tomb of Shah Jahan’s wife, in a calm, rural setting around a river bend from Shah Jahan’s Red Fort makes a sensational day’s sightseeing. Best: October-March. Avoid: the summer (extreme heat).