I might be buying a gold coin with my christmas money. However, some coins are much thicker than others, so there not as wide. I'm looking for a gold coin under $300, that is thinnest and wide as possible.
For this kind of money, why worry about how thin and wide a coin is? Depending on what your wants are (bullion or an actual gold coin) you would be better off to focus on getting the best bang for your buck. With gold prices where they are these days, it is not that difficult to find nice, original more common date US issues at little to no premium. Were I in your situation, I would probably look for a nice $2.50 that may hold some collector interest even if gold prices were to fall.
My recommendation is to purchase a AGE because it's coin gold and thus you get a little more total volume than with a 24kt coin. You can get a $5 face, 1/10 oz, coin for ~$200 if you look around. If you are willing to spend a little less than $500, you can get the significantly larger 1/4 oz, $10 face AGE.
The largest, thinnest gold coins are the Austrian 4 Ducats and the Turkish "monnaie de luxe" gold coins.
i agree with the $2.50 coin idea. since gold has gotten higher their premium has gotten smaller. you can find decent examples for melt a a hair more. and at gold spot today $200 and $500 for a 1/10 and 1/4 are kind high. you can usually get them from dealers around 6/7% over melt