Macedonia, 1995 proposals
When Macedonia had to change its flag in 1995, the task of designing it fell to artist Miroslav Grčev. The country was no longer allowed to use the Vergina Sun symbol, but the government still wanted to have a red and yellow flag with a sun in the centre. Grčev looked to other flags with the sun on them and found they fit into four categores: plain circles like on the flag of Japan (top), discs surrounded by rings of triangles like on the flag of Taiwan (middle), more ornate suns with alternating straight and curvy rays like on the flag of Argentina (bottom), and radial rays like on the flag of Arizona. That fourth category was the one that ended up being used on the national flag.
The actual proposal for that flag, by the way, looked somewhat different than what was eventually adopted. Rather than being at a 1:2 ratio, Grčev’s final version was at the golden ratio (around 1:1.618), and there was no separation between the disc and the rays. That would have been a bit of an improvement, I think. Still, the flag as it stands is pretty solid, especially given all the constraints.
(designer: Miroslav Grčev)