Finding a media cabinet with a glass front and have the wires run through the wall by your electrician or TV installer is one of the most common ways to place a cable box nearby and mostly out of site.
If you don't want to have a glass front cabinet, you can get an Infrared (IR) repeater system like the IR-2 Relay Unit that's included with any TV frame made by Frame My TV.
We understand it's not always possible to run wires through the wall or perhaps you just don't want to deal with hiring a professional. In this case, there are many different Wireless HDMI Extenders on the market to allow you to place your cable box anywhere you wish in the room and connect it to your cable box wirelessly for the ultimate in flexibility.
While a bit more complicated, you can also build a recess in the wall behind your TV to house your cable box. There are a variety of types of in-wall boxes for A/V Components you purchase to fit in a nice in the wall.
Add a TV Frame, TV Mirror, or TV Art Cover to hide the TV after you're all done.
TV Art Covers (Starting at $4,000)
TV Mirrors (Starting at $1,800)