Currently I have and am going to keep the XBOX remote.
The remotes I tried were a remote from my old Denon DVD-player, Onkyo-Receiver, QNAP Media-Player 1000P, two media-player remotes from Amazon (Arctic MCR2 and some CSL media center remote) and the XBOX remote. Since ALL acted absolutely the same, I decided to go with the one I liked the best - XBOX remote.
Oh, and I found out that it's not the bezel or the screen, but it's indeed the IR-receiver from the TV. It's really good (the receiver), as covering the TV from the front doesn't break the signal. The whole front and back of the TV, where the IR-receiver resides has to be well covered, to break the TV-remote signal. Only then FLIRC is working flawlessly, no self-repeating and normal scrolling is possible.
I read the link you gave me, could you please explain it a little bit better, you say: When you record the button, "up", record that button again. If I press record again, it gives me a windows with "redo". What should I do from here?
But are there chances that FLIRC is broken or is this simply a one in a thousand compatibility issue? And would it possibly be solvable through the firmware update?