I'm not sure I understand what your asking. Or even if you're asking a question at all.

IF you're asking how to make sure the lamps aren't reflected in the actors eyes all you have to do is drop or raise the lamps. If they are on the same level as the eyes and camera you will see them.

I'm asking how to get as much indirect light as possible without any light source showing in the actors eyes. That includes seeing the reflection of something in the room in the actors eyes.

The way you can on a sunny day, outside with the sun
directly overhead or in one scene in the movie THX 1138. I Don't mean to be obscure but that's the only movie where I've seen it accomplished. There it was done in a large room with recessed lighting pointing at a domed ceiling.

My problem is I need to do it in a 8x8 room.
My lights are shielded or raised so they won't reflect in the eyes.

I've tried a white background but shows in the eyes. A black background sucks up too much light even for a sony vx2000.

Use a blue background and only use blue eyed actors??

I doubt an even brigter light would work and if it did it would probably be too hot for such a small room.

Any ideas would be appreciated. I'm stumped.

have you tried reflecting all the light. Try to bounce all the light off of light reflectors. If you dont have any of these then just a big piece of cardboard with aluminum foil taped to it would work fine. Shine the light source right at the reflector and just use that as your main light. That should give you a very soft light. Im not completly sure if this is what you are going for but its the best way i know to dim light so that its not harsh and you dont get alot of light reflecting off the actors.

"Anyone who has ever been privileged to direct a film also knows that, although it can be like trying to write 'War and Peace' in a bumper car in an amusement park, when you finally get it right, there are not many joys in life that can equal the feeling." - Stanley Kubrick