How to Connect Xbox 360, Xbox 360 E, and Xbox 360 S to a Sound System | trans.info
Amazon.com: Y.D.F Xbox 360 HDMI Converter, Xbox 360 to HDMI Converter HD Link Cable for Xbox 360, Xbox 360 to HDMI Support 720P / 1080P. Compatible with Xbox 360 and Xbox 360 Slim. : Video Games
File:Xbox 360 HDMI Cable.png - Wikimedia Commons
Amazon.com: Microsoft Xbox 360 Black HDMI Cable (Retail Packaging) : Video Games
Restored Microsoft Xbox 360 Slim 250GB Video Game Console Black Controller HDMI (Refurbished) - Walmart.com
Pro 360s HDMI'd - GameSpot
Yes, you can: How to play Xbox 360 games on Xbox One – GeekWire