I haven't built a Desktop PC since 2002! Things have changed a bit since.
I ditched my gaming laptop, an Asus RoG G73jh, and decided to go for a living room media center / gaming center. I planned to connect it to my 42" 1080p Panasonic plasma and to my Yamaha RX-V673 AV receiver to play games and watch movies. It wanted it to be small, silent"ish", powerfull and a bit stylish.
Budget was 1000€
This is what I came up with.