For my UE40J6200 television I found the codes I needed in this topic:
[Link: remotecentral.com]

The basics all worked: power on, power off, input selections HDMI etc., mute. The ones I'm still looking for are HDMI4 (doesn't seem to be available at all on this model, as a discrete code) and also the picture modes don't seem to work (just picture mode toggle).