ON WHICH DAY OF THE YEAR IS THE LATEST SUNSET?
One might suppose that this would be on the Winter Solstice. But no - the time of sunset is when the sun is at zero altitude. This time in Civil Hours is given by the formula:
The formula shows that the duration of morning and afternoon are not equally dispursed around civil noon. Around the Winter Solstice, the value of the Sun's Declination is only changing marginally each day, while the Equation of Time is changing relatively rapidly. The effect of the changing EoT outweighs that if the changing declination leads to the day on which sunset is latest moves away from the winter solstice and towards January. 
At one moves towards Equatorial Latitudes, the tangent of the Latitude trends towards zero and the timing of sunrise and sunset varies little throughout the year, the EoT effect becomes signifiant, as shown in this graph 
or in a fancier form....
A GNOMONIST'S RIDDLE
You are sitting on a park bench reading the local newspaper. You have no timepiece, but there is a Sundial nearby. The sun is shining. How do you find the Standard Time?
Answer
Your newspaper usually has the local time of Sunrise and Sunset. Add together the time of Sunrise and Sunset, subtract 24 and multiply by 30 and you have the EoT and the longitude correction in minutes. Read the Sundial, apply the correction and you have the standard time. Add an hour in the summer.
A glance at the formula in the previous section will show why this is so, since adding sunrise to sunset cancels out the +/- trigonometrical part.
This method was well known in the 19th C, as shown below.
from Elementary Mathematical Astronomy by Barlow & Bryan 1893
ANALEMMAS ON OTHER PLANETS
The following taken verbatim from Bob Urschel's fascinating website - www.analemma.com
Permission being sought to duplicate
Of the nine planets in our solar system, seven of these (including Earth) exhibit the right orbital characteristics for the sun to form an analemmic curve throughout the planet's solar year. The two exceptions to this are Mercury and Venus. The length of day on these two planets almost matches the revolution time around the sun, thus the motion of the sun from one day to the next is not a smooth analemmic curve. In fact, the length of the day on Venus is slightly longer than its' solar year.
Mars
Jupiter:
Saturn:
Uranus:
Pluto
Saturn: 
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