Hello Tridef/DDD,
KNOWN/OPEN ISSUES:STILL Some light sources and lights or auras that seem to mismatch from each other (look picture, I tested on benchmark, I don't khow wehre exacly this place because I STILL don't start play game...wait when this issue be fixed). (Look picture)
Detective Issue issue - temp fix:
Don't used AA with this game, it's broke some 3d features. Play ONLY without AA!
RESOLVED ISSUES:Mirror reflection - FIXED
Reflection + water issue FIXED.
Missing texture/ground/terrain problem - FIXED
Museum problem - FIXED
Smoke in museum - FIXED
Some lights issues - FIXED
Dynamic shadows - FIXED (DISABLED)
UPD: 16.05.12
DDD profile from ignition 3.5.18 beta 4UPD 12.03.12 - Further Fix
UPD 07.03.2012
Taken a little bit more of a look at the DX9 profile, and have possibly fixed a few issues, including the museum display cases, and some other things.
Tested on AMD.
EDIT: This has not had extensive testing, so there may be some issues that I did not see and therefore did not fix.
UPD: 3.02.12 (DX11]
Today Batman - Arkham City released. We need official or beta dx11 profile

With new Tridef 3D 5.1/Ignition 3.4.20 DDD add new profile with support DX11 now in "virtual 3D"mode
UPD.: 9.12.11 new DX9 beta DDD profile
Here is an updated DX9 profile.
It fixes a lot of the lighting issues for both GPUs.
However, based on some of the things mentioned preciously in this thread, there as other things still not behaving properly (spotlight,fishtank,etc).
UPD.: 24.11.2011
Timothy release beta DDD (DX9) profile:
"DX11 beta profile may come in the following days."
Timothy
[attachm[/b]ent=0]Batman Arkham City (DDD).TriDefGame[/attachment]