I have a 2011 Bravia and it is DLNA compatible and I am able to send video/images to the TV.
You either need a wifi dongle for the TV, or an ethernet cable connecting it to a router. Then you need to make sure your phone is connected to the same wireless router as your TV.
Then use the program AllShare that comes with the phone. It might take a bit of playing around at first but it does work.
Works flawlessly with images, but sometimes not so well with videos. To get my TV to play videos recorded on my phone I have to open the AllShare application and then use the menu on the TV to search phone - and that's the only way it works for me.