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There are a couple of different types of Media Players
The wireless that you are referring to, is simply the network connectivity to connect to the media player. Personally I would not recommend wireless. I would connect one via a LAN cable.
For example, My MED1000X3D, is connected to my TV via HDMI. I have a 4TB internal hard drive, as well as 2x4TB and 1x2TB external hard drives connected to it. I connect to my MED1000X3D via my Laptop over my network to copy media files to the hard drives, but play them directly onto the TV via the MED1000X3d (Sony KDL-42W807a).
2 other brands to look at are Popcorn Hour A-400 and Dune HD Base 3D
Cheers