What you seem to be asking for is exactly what the Slingbox does.
I am not aware of anything in the consumer arena that inputs HDMI. The only systems i have seen are Component video. The Slingbox Pro-HD to be exact.
You could always use an HDMI to component video adapter:http://www.buy.com/retail/product.asp?sku=212941641&listingid=57277562
Source Component (Component video only) -> Slingbox -> Internet Viewing Software, or Web Browser