Storj Coin. Mining through sharing your hard drive free space.
This is not really a coin where all you need is internet. Because if you go on this path, you'll end up adding Bitcoin and Litecoin, because all you need is internet, and an ASIC and some software. I hope that you understand my point.
Also, if you are interested in HDD mining, there's also BURST. I don't know though which of the two (Storj vs Burst) is better/more profitable and so on.