Edward VIII coins are an interesting, popular and not very expensive subseries of British Empire/Commonwealth coinage. Edward VIII had a bit of a disagreement with the Mint over his portrait; as a result, no portrait coins were issued during his brief reign, from any country in the Empire. So, the only coins issued in the name of Edward VIII are ones that don't have his portrait - normally because the coins are holed.
Here's a complete list, as near as I can tell (I welcome any additions or corrections). All coins are, of course, from 1936:
British West Africa1/10th penny - three mintmarks (none, H and KN) - KM 14
½ penny - same three mintmarks - KM 15
1 penny - same three mintmarks - KM 16
East Africa5 cents - two mintmarks (H and KN) - KM 23
10 cents - same three mintmarks as BWA coins - KM 24
Fiji1 penny - KM 6
Jodhpur (Indian State) - King's name in Arabic; these coins are typical crude States coins.
¼ anna - three varieties - KM 131 to 133
Kutch (Indian state) - better made than Jodhpur's. These coins have the King's name in Arabic with Arabic "8"; issued in local year (vikramasamvat) 1992 and 1993.
3 dokda VS1993 - KM/Y 63
1 kori VS1992 and 1993 - KM/Y 65
2½ kori VS1992 and 1993 - KM/Y 66
5 kori VS 1992 and 1993- KM/Y 67
New Guinea1 penny - doesn't have his name, only the ERI monogram - KM 6
All these are cheap - the highest catalogued Edward VIII coin is the Kutch 2½ kori, at US$32.50 in Unc! The only silver coins were the 1, 2½ and 5 kori issued by Kutch; all others were cupronickel or bronze.
There is one other Indian States coin I didn't mention - a gold mohur of Jodhpur. Krause doesn't list a value at all, so it's probably either pricey or all known examples are in museums.
There is, of course, the ultimate Edward VIII rarity - the pattern threepence, with the trial portrait of Edward VIII - only a few escaped into circulation. They're the "1913 Liberty Head nickels" of British coinage.
For some, these coins aren't enough. To fill this "latent demand", several medal-making companies have issued "unofficial pattern crowns" in the name of various countries which were in the Empire at the time.
As an experiment, I just ran an
ebay search worldwide for the exact phrase "Edward VIII" in category "coins". 40 items came up. One was an Edward VIII Coronation medal (the medal-makers had egg on their faces after that one!), one was a Canadian "Royal Family" series $2 note from 1923, there were four BWA coins and and two Fiji pennies. All the rest were unofficial patterns.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis