There are plenty of solutions that you could try, I am going to spare you some time. Use PS3 Media Server.

1. Turn on your Xbox
2. Install and PS3 Media Server
3. Check the status tab until the Xbox appears
4. Go to Navigation/Share settings and add folders by clicking the icon with a “+”
5. Click restart server
6. Go back to your Xbox go to the Video section, then “My video apps”, then “Video player”, then the “Select Source” menu should appear with the PS3 Media Server listed in. And you are done, just browse your folders and play the videos you like.