Being a Child of '72, I pretty much came of age to start gaming right about the time home consoles first hit mass market... which is to say I got my start on the Atari 2600 and have kept with it ever since (although I missed a large part of the Genesis/SNES era due to focusing on the rock n' roll dream).
My gaming tastes... sometimes story matters, sometimes not. Likewise with graphics. In the end great and/or fun gameplay is what matters.
Currently playing: Ninja Gaiden Sigma 1 & 2, inFamous 2, Spec Ops: The Line, Darksiders 2, Metal Gear Rising: Revengeance
Tool, Coheed and Cambria, Mastodon, Baroness, Sasha, John Digweed, Nick Warren, Dream Theater, Rush, and tons of other stuff that would make this list more diverse and interesting (but way too long) to read.