Note that anynet is just Samsung's name for the HDMI-CEC feature available with HDMI 1.3. I believe other manufactures' devices that support HDMI-CEC "should" interoperate with this receiver. I've included the basis for this information below (copied from EGEAR website).
Since its introduction to the consumer electronics industry, the HDMI cable has been at the center of several controversies. Some parties see it as a link in the home theater chain, while others berate the innocent little cable for its incompatibilities and inadequacies. E-Gear has covered the HDMI cable many times, but we're not done yet. Here we look at one small aspect of the specification that could either simplify or complicate your TV control, depending on how you look at it.
What is HDMI-CEC?
CEC stands for consumer electronics control. Essentially HDMI-CEC-enabled gear, when connected by an HDMI cable, can be controlled through one remote without any programming or setup required. It is an optional part of the HDMI specification. Up to 10 connected devices, including the display, can be controlled via HDMI. CEC is a two-way communication system in which a device sends back an acknowledgement that it received a command, assuring that devices are in their proper state. Some aspects of the technology actually originated with Europe's SCARP interface.
What manufacturers support it?
All of the major TV makers support it, though to make things confusing, they all call it something different. Samsung calls it Anynet+, Toshiba CE-Link, Panasonic EZ-Sync, Sony Bravia Theater Sync and LG uses SimpleLink.
Will it work between brands (will a Sony HTiB work with a Samsung LCD TV)?
Yes, the specification allows for universal compatibility with all manufacturers who implement the protocol. However, some manufacturers, Panasonic for instance, add additional functionality including an onscreen interface and support for digital camcorders and media cards. Samsung and Toshiba specifically told E-Gear that their use of HDMI-CEC will work with other brands. Other manufacturers said that generally it's compatible but they can't guarantee full functionality outside of their brand.
If the hardware is compatible, will any HDMI cable work?
Yes, the technology is dependent on the connected sources and TV, not the cable.
Does HDMI-CEC have anything to do with HDMI 1.3?
CEC is included in HDMI 1.3, but it was first available in HDMI 1.2a.
Should I not buy a universal remote?
Only if everything in your system uses the protocol. HDMI-CEC is a simple solution for simple systems. Most consumers' entertainment systems are more complex than a flat panel TV and HTiB. When you factor in DVRs, cable set-top-boxes, media bridges and servers and satellite radios, and other non-HDMI devices, you'll see that there's still lots of need for advanced universal remotes. CEC could become available for more devices, but currently it's only available on select HDTVs, HTiBs, DVD players and surround sound receivers. In addition, the remotes bundled with CEC devices lack the graphical LCD interfaces of the most advanced universal remotes.