(Note that this isn't actually the official logo... Sadly)
Minecraft is a sandbox/survival game; it involves mining, crafting, building, surviving, adventuring, and enchanting, and is exceedingly popular. Minecraft was created by Markus "Notch" Persson from Sweden and is now being primarily developed by Jens Bergensten(AKA Jeb).
Offical Website - To buy the game, look at merchandise and other links, see Jeb's twitter updates, watch the advertisement video thingy, play it in browser, or do whatever.
Minecraft Wiki - To answer almost any question you could think of as to how to play, how things work, and where to find basically everything.
Offical Minecraft Forums - If you'd like to talk about exclusively minecraft things to a bigger community of players.
Original Soundtrack. - For those of you that like the music.
Old topic - The previous topic.
Snail Man's jumping/obstacle course
Yokcos' Hunger Games
Great Gamer's generic adventure map
If you have a server you want added to this list, PM me or post the IP and I'll post it here soon. You can also give a short description and tell me what the uptime is so people will have a better idea of what goes on around there and when they can get on.
--Unofficial GMC Server
IRC connection: irc.frenetic.xyz#gmc