The pairs that are genuinely hard, and the ones that only look it
Genuinely near-identical. Chad and Romania both fly blue-yellow-red vertical tricolours; the difference is a slightly darker blue on Chad's, and at quiz size it is close to invisible. Monaco and Indonesia are both a red bar over a white bar, differing in proportion rather than design. These are the pairs where a fair quiz either shows both together and asks you to distinguish them deliberately, or accepts that it is testing a coin flip.
Looks hard, is not. Ireland and Côte d'Ivoire use the same three colours in mirrored order — Ireland runs green to orange, Côte d'Ivoire orange to green. Norway and Iceland are the same Nordic-cross design with the red and blue swapped. Netherlands and Luxembourg differ in the shade of blue and the proportions. Australia and New Zealand both carry the Union Jack and the Southern Cross, but New Zealand shows four red stars with white borders while Australia shows six white stars, including the large Commonwealth Star beneath the Union Jack. Each of these has one rule that settles it permanently.
The odd ones out. Nepal is the only national flag that is not a rectangle — it is two stacked pennants. Switzerland and Vatican City are the only two that are officially square. These are worth knowing precisely because most quizzes cannot show them properly.